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Finding the Fourth Proportional to 50.92, 70.34 and 47.72

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Solution

The fourth proportional to 50.92, 70.34 and 47.72 is: 65.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.92 : 70.34 = 47.72 : x
  2. Step 2: Convert to fraction form
    50.92/70.34 = 47.72/x
  3. Step 3: Cross multiply
    50.92x = 70.34 × 47.72
  4. Step 4: Simplify right side
    50.92x = 3,356.62
  5. Step 5: Solve for x
    x = 3,356.62/50.92
  6. Step 6: Final answer
    x = 65.92

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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.