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Finding the Fourth Proportional to 75.47, 103.91 and 64.38

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Solution

The fourth proportional to 75.47, 103.91 and 64.38 is: 88.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.47 : 103.91 = 64.38 : x
  2. Step 2: Convert to fraction form
    75.47/103.91 = 64.38/x
  3. Step 3: Cross multiply
    75.47x = 103.91 × 64.38
  4. Step 4: Simplify right side
    75.47x = 6,689.73
  5. Step 5: Solve for x
    x = 6,689.73/75.47
  6. Step 6: Final answer
    x = 88.64

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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.