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Finding the Fourth Proportional to 50.71, 75.95 and 31.46

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Solution

The fourth proportional to 50.71, 75.95 and 31.46 is: 47.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.71 : 75.95 = 31.46 : x
  2. Step 2: Convert to fraction form
    50.71/75.95 = 31.46/x
  3. Step 3: Cross multiply
    50.71x = 75.95 × 31.46
  4. Step 4: Simplify right side
    50.71x = 2,389.39
  5. Step 5: Solve for x
    x = 2,389.39/50.71
  6. Step 6: Final answer
    x = 47.12

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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.