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Finding the Fourth Proportional to 73.59, 101.01 and 65.22

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Solution

The fourth proportional to 73.59, 101.01 and 65.22 is: 89.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.59 : 101.01 = 65.22 : x
  2. Step 2: Convert to fraction form
    73.59/101.01 = 65.22/x
  3. Step 3: Cross multiply
    73.59x = 101.01 × 65.22
  4. Step 4: Simplify right side
    73.59x = 6,587.87
  5. Step 5: Solve for x
    x = 6,587.87/73.59
  6. Step 6: Final answer
    x = 89.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.