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Finding the Fourth Proportional to 73.50, 101.51 and 64.27

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Solution

The fourth proportional to 73.50, 101.51 and 64.27 is: 88.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 101.51 = 64.27 : x
  2. Step 2: Convert to fraction form
    73.50/101.51 = 64.27/x
  3. Step 3: Cross multiply
    73.50x = 101.51 × 64.27
  4. Step 4: Simplify right side
    73.50x = 6,524.05
  5. Step 5: Solve for x
    x = 6,524.05/73.50
  6. Step 6: Final answer
    x = 88.76

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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.