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Finding the Fourth Proportional to 315.01, 472.24 and 224.29

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Solution

The fourth proportional to 315.01, 472.24 and 224.29 is: 336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.01 : 472.24 = 224.29 : x
  2. Step 2: Convert to fraction form
    315.01/472.24 = 224.29/x
  3. Step 3: Cross multiply
    315.01x = 472.24 × 224.29
  4. Step 4: Simplify right side
    315.01x = 105,918.71
  5. Step 5: Solve for x
    x = 105,918.71/315.01
  6. Step 6: Final answer
    x = 336.24

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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.