Home / 295.13-407.28-164.16

Finding the Fourth Proportional to 295.13, 407.28 and 164.16

Calculator

Solution

The fourth proportional to 295.13, 407.28 and 164.16 is: 226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.13 : 407.28 = 164.16 : x
  2. Step 2: Convert to fraction form
    295.13/407.28 = 164.16/x
  3. Step 3: Cross multiply
    295.13x = 407.28 × 164.16
  4. Step 4: Simplify right side
    295.13x = 66,859.08
  5. Step 5: Solve for x
    x = 66,859.08/295.13
  6. Step 6: Final answer
    x = 226.54

Related Problems

Find fourth proportional to 147.56, 203.64 and 82.08
Half scale
Find fourth proportional to 590.25, 814.56 and 328.32
Double scale
Find fourth proportional to 296.13, 408.66 and 165.16
Similar ratio
Find fourth proportional to 442.69, 610.92 and 246.24
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.