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Finding the Fourth Proportional to 180.04, 269.46 and 145.72

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Solution

The fourth proportional to 180.04, 269.46 and 145.72 is: 218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 269.46 = 145.72 : x
  2. Step 2: Convert to fraction form
    180.04/269.46 = 145.72/x
  3. Step 3: Cross multiply
    180.04x = 269.46 × 145.72
  4. Step 4: Simplify right side
    180.04x = 39,265.71
  5. Step 5: Solve for x
    x = 39,265.71/180.04
  6. Step 6: Final answer
    x = 218.09

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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.