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Finding the Fourth Proportional to 67.50, 101.79 and 58.59

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Solution

The fourth proportional to 67.50, 101.79 and 58.59 is: 88.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 101.79 = 58.59 : x
  2. Step 2: Convert to fraction form
    67.50/101.79 = 58.59/x
  3. Step 3: Cross multiply
    67.50x = 101.79 × 58.59
  4. Step 4: Simplify right side
    67.50x = 5,963.88
  5. Step 5: Solve for x
    x = 5,963.88/67.50
  6. Step 6: Final answer
    x = 88.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.