Home / 454.61-682.16-180.71

Finding the Fourth Proportional to 454.61, 682.16 and 180.71

Calculator

Solution

The fourth proportional to 454.61, 682.16 and 180.71 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.61 : 682.16 = 180.71 : x
  2. Step 2: Convert to fraction form
    454.61/682.16 = 180.71/x
  3. Step 3: Cross multiply
    454.61x = 682.16 × 180.71
  4. Step 4: Simplify right side
    454.61x = 123,273.13
  5. Step 5: Solve for x
    x = 123,273.13/454.61
  6. Step 6: Final answer
    x = 271.16

Related Problems

Find fourth proportional to 227.31, 341.08 and 90.36
Half scale
Find fourth proportional to 909.22, 1,364.32 and 361.42
Double scale
Find fourth proportional to 455.61, 683.66 and 181.71
Similar ratio
Find fourth proportional to 681.92, 1,023.24 and 271.07
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.