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Finding the Fourth Proportional to 316.50, 474.78 and 280.28

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Solution

The fourth proportional to 316.50, 474.78 and 280.28 is: 420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.50 : 474.78 = 280.28 : x
  2. Step 2: Convert to fraction form
    316.50/474.78 = 280.28/x
  3. Step 3: Cross multiply
    316.50x = 474.78 × 280.28
  4. Step 4: Simplify right side
    316.50x = 133,068.96
  5. Step 5: Solve for x
    x = 133,068.96/316.50
  6. Step 6: Final answer
    x = 420.44

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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.