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Finding the Fourth Proportional to 67.98, 101.53 and 58.86

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Solution

The fourth proportional to 67.98, 101.53 and 58.86 is: 87.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.98 : 101.53 = 58.86 : x
  2. Step 2: Convert to fraction form
    67.98/101.53 = 58.86/x
  3. Step 3: Cross multiply
    67.98x = 101.53 × 58.86
  4. Step 4: Simplify right side
    67.98x = 5,975.91
  5. Step 5: Solve for x
    x = 5,975.91/67.98
  6. Step 6: Final answer
    x = 87.91

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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.