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Finding the Fourth Proportional to 280.10, 387.52 and 260.66

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Solution

The fourth proportional to 280.10, 387.52 and 260.66 is: 360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.10 : 387.52 = 260.66 : x
  2. Step 2: Convert to fraction form
    280.10/387.52 = 260.66/x
  3. Step 3: Cross multiply
    280.10x = 387.52 × 260.66
  4. Step 4: Simplify right side
    280.10x = 101,010.96
  5. Step 5: Solve for x
    x = 101,010.96/280.10
  6. Step 6: Final answer
    x = 360.62

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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.