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Finding the Fourth Proportional to 534.17, 799.89 and 302.72

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Solution

The fourth proportional to 534.17, 799.89 and 302.72 is: 453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.17 : 799.89 = 302.72 : x
  2. Step 2: Convert to fraction form
    534.17/799.89 = 302.72/x
  3. Step 3: Cross multiply
    534.17x = 799.89 × 302.72
  4. Step 4: Simplify right side
    534.17x = 242,139.27
  5. Step 5: Solve for x
    x = 242,139.27/534.17
  6. Step 6: Final answer
    x = 453.30

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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.