Home / 453.60-680.16-282.24

Finding the Fourth Proportional to 453.60, 680.16 and 282.24

Calculator

Solution

The fourth proportional to 453.60, 680.16 and 282.24 is: 423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.60 : 680.16 = 282.24 : x
  2. Step 2: Convert to fraction form
    453.60/680.16 = 282.24/x
  3. Step 3: Cross multiply
    453.60x = 680.16 × 282.24
  4. Step 4: Simplify right side
    453.60x = 191,968.36
  5. Step 5: Solve for x
    x = 191,968.36/453.60
  6. Step 6: Final answer
    x = 423.21

Related Problems

Find fourth proportional to 226.80, 340.08 and 141.12
Half scale
Find fourth proportional to 907.20, 1,360.32 and 564.48
Double scale
Find fourth proportional to 454.60, 681.66 and 283.24
Similar ratio
Find fourth proportional to 680.40, 1,020.24 and 423.36
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.