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Finding the Fourth Proportional to 691.20, 1,036.96 and 204.28

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Solution

The fourth proportional to 691.20, 1,036.96 and 204.28 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.20 : 1,036.96 = 204.28 : x
  2. Step 2: Convert to fraction form
    691.20/1,036.96 = 204.28/x
  3. Step 3: Cross multiply
    691.20x = 1,036.96 × 204.28
  4. Step 4: Simplify right side
    691.20x = 211,830.19
  5. Step 5: Solve for x
    x = 211,830.19/691.20
  6. Step 6: Final answer
    x = 306.47

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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.