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Finding the Fourth Proportional to 73.73, 101.84 and 64.64

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Solution

The fourth proportional to 73.73, 101.84 and 64.64 is: 89.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.73 : 101.84 = 64.64 : x
  2. Step 2: Convert to fraction form
    73.73/101.84 = 64.64/x
  3. Step 3: Cross multiply
    73.73x = 101.84 × 64.64
  4. Step 4: Simplify right side
    73.73x = 6,582.94
  5. Step 5: Solve for x
    x = 6,582.94/73.73
  6. Step 6: Final answer
    x = 89.28

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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.