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Finding the Fourth Proportional to 68.53, 102.88 and 62.87

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Solution

The fourth proportional to 68.53, 102.88 and 62.87 is: 94.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.53 : 102.88 = 62.87 : x
  2. Step 2: Convert to fraction form
    68.53/102.88 = 62.87/x
  3. Step 3: Cross multiply
    68.53x = 102.88 × 62.87
  4. Step 4: Simplify right side
    68.53x = 6,467.89
  5. Step 5: Solve for x
    x = 6,467.89/68.53
  6. Step 6: Final answer
    x = 94.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.