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Finding the Fourth Proportional to 280.58, 387.02 and 247.90

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Solution

The fourth proportional to 280.58, 387.02 and 247.90 is: 341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.58 : 387.02 = 247.90 : x
  2. Step 2: Convert to fraction form
    280.58/387.02 = 247.90/x
  3. Step 3: Cross multiply
    280.58x = 387.02 × 247.90
  4. Step 4: Simplify right side
    280.58x = 95,942.26
  5. Step 5: Solve for x
    x = 95,942.26/280.58
  6. Step 6: Final answer
    x = 341.94

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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.