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Finding the Fourth Proportional to 546.30, 753.02 and 369.21

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Solution

The fourth proportional to 546.30, 753.02 and 369.21 is: 508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.30 : 753.02 = 369.21 : x
  2. Step 2: Convert to fraction form
    546.30/753.02 = 369.21/x
  3. Step 3: Cross multiply
    546.30x = 753.02 × 369.21
  4. Step 4: Simplify right side
    546.30x = 278,023.44
  5. Step 5: Solve for x
    x = 278,023.44/546.30
  6. Step 6: Final answer
    x = 508.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.