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Finding the Fourth Proportional to 73.57, 101.53 and 42.49

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Solution

The fourth proportional to 73.57, 101.53 and 42.49 is: 58.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.57 : 101.53 = 42.49 : x
  2. Step 2: Convert to fraction form
    73.57/101.53 = 42.49/x
  3. Step 3: Cross multiply
    73.57x = 101.53 × 42.49
  4. Step 4: Simplify right side
    73.57x = 4,314.01
  5. Step 5: Solve for x
    x = 4,314.01/73.57
  6. Step 6: Final answer
    x = 58.64

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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.