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Finding the Fourth Proportional to 130.88, 180.59 and 89.42

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Solution

The fourth proportional to 130.88, 180.59 and 89.42 is: 123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.88 : 180.59 = 89.42 : x
  2. Step 2: Convert to fraction form
    130.88/180.59 = 89.42/x
  3. Step 3: Cross multiply
    130.88x = 180.59 × 89.42
  4. Step 4: Simplify right side
    130.88x = 16,147.01
  5. Step 5: Solve for x
    x = 16,147.01/130.88
  6. Step 6: Final answer
    x = 123.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.