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Finding the Fourth Proportional to 185.69, 278.90 and 142.55

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Solution

The fourth proportional to 185.69, 278.90 and 142.55 is: 214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.69 : 278.90 = 142.55 : x
  2. Step 2: Convert to fraction form
    185.69/278.90 = 142.55/x
  3. Step 3: Cross multiply
    185.69x = 278.90 × 142.55
  4. Step 4: Simplify right side
    185.69x = 39,758.25
  5. Step 5: Solve for x
    x = 39,758.25/185.69
  6. Step 6: Final answer
    x = 214.12

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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.