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Finding the Fourth Proportional to 315.29, 470.58 and 237.87

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Solution

The fourth proportional to 315.29, 470.58 and 237.87 is: 355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 470.58 = 237.87 : x
  2. Step 2: Convert to fraction form
    315.29/470.58 = 237.87/x
  3. Step 3: Cross multiply
    315.29x = 470.58 × 237.87
  4. Step 4: Simplify right side
    315.29x = 111,935.97
  5. Step 5: Solve for x
    x = 111,935.97/315.29
  6. Step 6: Final answer
    x = 355.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.