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Finding the Fourth Proportional to 62.50, 93.64 and 38.42

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Solution

The fourth proportional to 62.50, 93.64 and 38.42 is: 57.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.50 : 93.64 = 38.42 : x
  2. Step 2: Convert to fraction form
    62.50/93.64 = 38.42/x
  3. Step 3: Cross multiply
    62.50x = 93.64 × 38.42
  4. Step 4: Simplify right side
    62.50x = 3,597.65
  5. Step 5: Solve for x
    x = 3,597.65/62.50
  6. Step 6: Final answer
    x = 57.56

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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.