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Finding the Fourth Proportional to 280.50, 387.15 and 177.06

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Solution

The fourth proportional to 280.50, 387.15 and 177.06 is: 244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.50 : 387.15 = 177.06 : x
  2. Step 2: Convert to fraction form
    280.50/387.15 = 177.06/x
  3. Step 3: Cross multiply
    280.50x = 387.15 × 177.06
  4. Step 4: Simplify right side
    280.50x = 68,548.78
  5. Step 5: Solve for x
    x = 68,548.78/280.50
  6. Step 6: Final answer
    x = 244.38

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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.