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Finding the Fourth Proportional to 474.92, 655.16 and 309.23

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Solution

The fourth proportional to 474.92, 655.16 and 309.23 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.92 : 655.16 = 309.23 : x
  2. Step 2: Convert to fraction form
    474.92/655.16 = 309.23/x
  3. Step 3: Cross multiply
    474.92x = 655.16 × 309.23
  4. Step 4: Simplify right side
    474.92x = 202,593.58
  5. Step 5: Solve for x
    x = 202,593.58/474.92
  6. Step 6: Final answer
    x = 426.58

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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.