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Finding the Fourth Proportional to 280.76, 418.76 and 264.92

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Solution

The fourth proportional to 280.76, 418.76 and 264.92 is: 395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.76 : 418.76 = 264.92 : x
  2. Step 2: Convert to fraction form
    280.76/418.76 = 264.92/x
  3. Step 3: Cross multiply
    280.76x = 418.76 × 264.92
  4. Step 4: Simplify right side
    280.76x = 110,937.90
  5. Step 5: Solve for x
    x = 110,937.90/280.76
  6. Step 6: Final answer
    x = 395.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.