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Finding the Fourth Proportional to 64.98, 96.84 and 62.28

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Solution

The fourth proportional to 64.98, 96.84 and 62.28 is: 92.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.98 : 96.84 = 62.28 : x
  2. Step 2: Convert to fraction form
    64.98/96.84 = 62.28/x
  3. Step 3: Cross multiply
    64.98x = 96.84 × 62.28
  4. Step 4: Simplify right side
    64.98x = 6,031.20
  5. Step 5: Solve for x
    x = 6,031.20/64.98
  6. Step 6: Final answer
    x = 92.82

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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.