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Finding the Fourth Proportional to 64.60, 97.28 and 53.88

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Solution

The fourth proportional to 64.60, 97.28 and 53.88 is: 81.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.60 : 97.28 = 53.88 : x
  2. Step 2: Convert to fraction form
    64.60/97.28 = 53.88/x
  3. Step 3: Cross multiply
    64.60x = 97.28 × 53.88
  4. Step 4: Simplify right side
    64.60x = 5,241.45
  5. Step 5: Solve for x
    x = 5,241.45/64.60
  6. Step 6: Final answer
    x = 81.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.