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Finding the Fourth Proportional to 280.64, 420.96 and 88.28

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Solution

The fourth proportional to 280.64, 420.96 and 88.28 is: 132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.64 : 420.96 = 88.28 : x
  2. Step 2: Convert to fraction form
    280.64/420.96 = 88.28/x
  3. Step 3: Cross multiply
    280.64x = 420.96 × 88.28
  4. Step 4: Simplify right side
    280.64x = 37,162.35
  5. Step 5: Solve for x
    x = 37,162.35/280.64
  6. Step 6: Final answer
    x = 132.42

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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.