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Finding the Fourth Proportional to 280.95, 421.44 and 88.58

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Solution

The fourth proportional to 280.95, 421.44 and 88.58 is: 132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.95 : 421.44 = 88.58 : x
  2. Step 2: Convert to fraction form
    280.95/421.44 = 88.58/x
  3. Step 3: Cross multiply
    280.95x = 421.44 × 88.58
  4. Step 4: Simplify right side
    280.95x = 37,328.61
  5. Step 5: Solve for x
    x = 37,328.61/280.95
  6. Step 6: Final answer
    x = 132.87

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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.