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Finding the Fourth Proportional to 64.33, 88.78 and 39.77

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Solution

The fourth proportional to 64.33, 88.78 and 39.77 is: 54.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.33 : 88.78 = 39.77 : x
  2. Step 2: Convert to fraction form
    64.33/88.78 = 39.77/x
  3. Step 3: Cross multiply
    64.33x = 88.78 × 39.77
  4. Step 4: Simplify right side
    64.33x = 3,530.90
  5. Step 5: Solve for x
    x = 3,530.90/64.33
  6. Step 6: Final answer
    x = 54.89

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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.