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Finding the Fourth Proportional to 60.88, 83.50 and 53.59

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Solution

The fourth proportional to 60.88, 83.50 and 53.59 is: 73.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.88 : 83.50 = 53.59 : x
  2. Step 2: Convert to fraction form
    60.88/83.50 = 53.59/x
  3. Step 3: Cross multiply
    60.88x = 83.50 × 53.59
  4. Step 4: Simplify right side
    60.88x = 4,474.08
  5. Step 5: Solve for x
    x = 4,474.08/60.88
  6. Step 6: Final answer
    x = 73.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.