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Finding the Fourth Proportional to 314.60, 471.28 and 280.20

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Solution

The fourth proportional to 314.60, 471.28 and 280.20 is: 419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.60 : 471.28 = 280.20 : x
  2. Step 2: Convert to fraction form
    314.60/471.28 = 280.20/x
  3. Step 3: Cross multiply
    314.60x = 471.28 × 280.20
  4. Step 4: Simplify right side
    314.60x = 132,052.66
  5. Step 5: Solve for x
    x = 132,052.66/314.60
  6. Step 6: Final answer
    x = 419.75

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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.