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Finding the Fourth Proportional to 73, 100.64 and 63.28

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Solution

The fourth proportional to 73, 100.64 and 63.28 is: 87.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73 : 100.64 = 63.28 : x
  2. Step 2: Convert to fraction form
    73/100.64 = 63.28/x
  3. Step 3: Cross multiply
    73x = 100.64 × 63.28
  4. Step 4: Simplify right side
    73x = 6,368.50
  5. Step 5: Solve for x
    x = 6,368.50/73
  6. Step 6: Final answer
    x = 87.24

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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.