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Finding the Fourth Proportional to 64.30, 96.02 and 54.16

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Solution

The fourth proportional to 64.30, 96.02 and 54.16 is: 80.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.30 : 96.02 = 54.16 : x
  2. Step 2: Convert to fraction form
    64.30/96.02 = 54.16/x
  3. Step 3: Cross multiply
    64.30x = 96.02 × 54.16
  4. Step 4: Simplify right side
    64.30x = 5,200.44
  5. Step 5: Solve for x
    x = 5,200.44/64.30
  6. Step 6: Final answer
    x = 80.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.