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Finding the Fourth Proportional to 318.18, 474.28 and 283.30

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Solution

The fourth proportional to 318.18, 474.28 and 283.30 is: 422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.18 : 474.28 = 283.30 : x
  2. Step 2: Convert to fraction form
    318.18/474.28 = 283.30/x
  3. Step 3: Cross multiply
    318.18x = 474.28 × 283.30
  4. Step 4: Simplify right side
    318.18x = 134,363.52
  5. Step 5: Solve for x
    x = 134,363.52/318.18
  6. Step 6: Final answer
    x = 422.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.