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Finding the Fourth Proportional to 280.66, 420.99 and 165.91

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Solution

The fourth proportional to 280.66, 420.99 and 165.91 is: 248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.66 : 420.99 = 165.91 : x
  2. Step 2: Convert to fraction form
    280.66/420.99 = 165.91/x
  3. Step 3: Cross multiply
    280.66x = 420.99 × 165.91
  4. Step 4: Simplify right side
    280.66x = 69,843.52
  5. Step 5: Solve for x
    x = 69,843.52/280.66
  6. Step 6: Final answer
    x = 248.85

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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.