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Finding the Fourth Proportional to 315.71, 473.72 and 133.10

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Solution

The fourth proportional to 315.71, 473.72 and 133.10 is: 199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.71 : 473.72 = 133.10 : x
  2. Step 2: Convert to fraction form
    315.71/473.72 = 133.10/x
  3. Step 3: Cross multiply
    315.71x = 473.72 × 133.10
  4. Step 4: Simplify right side
    315.71x = 63,052.13
  5. Step 5: Solve for x
    x = 63,052.13/315.71
  6. Step 6: Final answer
    x = 199.72

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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.