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Finding the Fourth Proportional to 318.46, 478.32 and 280.30

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Solution

The fourth proportional to 318.46, 478.32 and 280.30 is: 421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.46 : 478.32 = 280.30 : x
  2. Step 2: Convert to fraction form
    318.46/478.32 = 280.30/x
  3. Step 3: Cross multiply
    318.46x = 478.32 × 280.30
  4. Step 4: Simplify right side
    318.46x = 134,073.10
  5. Step 5: Solve for x
    x = 134,073.10/318.46
  6. Step 6: Final answer
    x = 421.00

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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.