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Finding the Fourth Proportional to 64.38, 88.79 and 39.77

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Solution

The fourth proportional to 64.38, 88.79 and 39.77 is: 54.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.38 : 88.79 = 39.77 : x
  2. Step 2: Convert to fraction form
    64.38/88.79 = 39.77/x
  3. Step 3: Cross multiply
    64.38x = 88.79 × 39.77
  4. Step 4: Simplify right side
    64.38x = 3,530.54
  5. Step 5: Solve for x
    x = 3,530.54/64.38
  6. Step 6: Final answer
    x = 54.84

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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.