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Finding the Fourth Proportional to 60.91, 90.89 and 53.80

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Solution

The fourth proportional to 60.91, 90.89 and 53.80 is: 80.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.91 : 90.89 = 53.80 : x
  2. Step 2: Convert to fraction form
    60.91/90.89 = 53.80/x
  3. Step 3: Cross multiply
    60.91x = 90.89 × 53.80
  4. Step 4: Simplify right side
    60.91x = 4,889.88
  5. Step 5: Solve for x
    x = 4,889.88/60.91
  6. Step 6: Final answer
    x = 80.28

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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.