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Finding the Fourth Proportional to 180.07, 269.95 and 88.64

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Solution

The fourth proportional to 180.07, 269.95 and 88.64 is: 132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.07 : 269.95 = 88.64 : x
  2. Step 2: Convert to fraction form
    180.07/269.95 = 88.64/x
  3. Step 3: Cross multiply
    180.07x = 269.95 × 88.64
  4. Step 4: Simplify right side
    180.07x = 23,929.26
  5. Step 5: Solve for x
    x = 23,929.26/180.07
  6. Step 6: Final answer
    x = 132.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.