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Finding the Fourth Proportional to 75.28, 112.67 and 62.29

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Solution

The fourth proportional to 75.28, 112.67 and 62.29 is: 93.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.28 : 112.67 = 62.29 : x
  2. Step 2: Convert to fraction form
    75.28/112.67 = 62.29/x
  3. Step 3: Cross multiply
    75.28x = 112.67 × 62.29
  4. Step 4: Simplify right side
    75.28x = 7,018.42
  5. Step 5: Solve for x
    x = 7,018.42/75.28
  6. Step 6: Final answer
    x = 93.23

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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.