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Finding the Fourth Proportional to 280.44, 420.64 and 88.08

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Solution

The fourth proportional to 280.44, 420.64 and 88.08 is: 132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.44 : 420.64 = 88.08 : x
  2. Step 2: Convert to fraction form
    280.44/420.64 = 88.08/x
  3. Step 3: Cross multiply
    280.44x = 420.64 × 88.08
  4. Step 4: Simplify right side
    280.44x = 37,049.97
  5. Step 5: Solve for x
    x = 37,049.97/280.44
  6. Step 6: Final answer
    x = 132.11

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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.