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Finding the Fourth Proportional to 64.94, 96.96 and 52.88

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Solution

The fourth proportional to 64.94, 96.96 and 52.88 is: 78.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.94 : 96.96 = 52.88 : x
  2. Step 2: Convert to fraction form
    64.94/96.96 = 52.88/x
  3. Step 3: Cross multiply
    64.94x = 96.96 × 52.88
  4. Step 4: Simplify right side
    64.94x = 5,127.24
  5. Step 5: Solve for x
    x = 5,127.24/64.94
  6. Step 6: Final answer
    x = 78.95

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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.