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Finding the Fourth Proportional to 185.46, 278.29 and 124.64

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Solution

The fourth proportional to 185.46, 278.29 and 124.64 is: 187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.46 : 278.29 = 124.64 : x
  2. Step 2: Convert to fraction form
    185.46/278.29 = 124.64/x
  3. Step 3: Cross multiply
    185.46x = 278.29 × 124.64
  4. Step 4: Simplify right side
    185.46x = 34,686.07
  5. Step 5: Solve for x
    x = 34,686.07/185.46
  6. Step 6: Final answer
    x = 187.03

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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.