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Finding the Fourth Proportional to 534.56, 803.28 and 318.20

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Solution

The fourth proportional to 534.56, 803.28 and 318.20 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.56 : 803.28 = 318.20 : x
  2. Step 2: Convert to fraction form
    534.56/803.28 = 318.20/x
  3. Step 3: Cross multiply
    534.56x = 803.28 × 318.20
  4. Step 4: Simplify right side
    534.56x = 255,603.70
  5. Step 5: Solve for x
    x = 255,603.70/534.56
  6. Step 6: Final answer
    x = 478.16

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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.