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Finding the Fourth Proportional to 73.42, 101.37 and 58.90

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Solution

The fourth proportional to 73.42, 101.37 and 58.90 is: 81.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.42 : 101.37 = 58.90 : x
  2. Step 2: Convert to fraction form
    73.42/101.37 = 58.90/x
  3. Step 3: Cross multiply
    73.42x = 101.37 × 58.90
  4. Step 4: Simplify right side
    73.42x = 5,970.69
  5. Step 5: Solve for x
    x = 5,970.69/73.42
  6. Step 6: Final answer
    x = 81.32

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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.