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Finding the Fourth Proportional to 280.26, 420.66 and 262.58

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Solution

The fourth proportional to 280.26, 420.66 and 262.58 is: 394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.26 : 420.66 = 262.58 : x
  2. Step 2: Convert to fraction form
    280.26/420.66 = 262.58/x
  3. Step 3: Cross multiply
    280.26x = 420.66 × 262.58
  4. Step 4: Simplify right side
    280.26x = 110,454.80
  5. Step 5: Solve for x
    x = 110,454.80/280.26
  6. Step 6: Final answer
    x = 394.12

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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.