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Finding the Fourth Proportional to 315.20, 472.71 and 141.77

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Solution

The fourth proportional to 315.20, 472.71 and 141.77 is: 212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.20 : 472.71 = 141.77 : x
  2. Step 2: Convert to fraction form
    315.20/472.71 = 141.77/x
  3. Step 3: Cross multiply
    315.20x = 472.71 × 141.77
  4. Step 4: Simplify right side
    315.20x = 67,013.02
  5. Step 5: Solve for x
    x = 67,013.02/315.20
  6. Step 6: Final answer
    x = 212.61

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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.