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Finding the Fourth Proportional to 532.39, 798.28 and 207.38

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Solution

The fourth proportional to 532.39, 798.28 and 207.38 is: 310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.39 : 798.28 = 207.38 : x
  2. Step 2: Convert to fraction form
    532.39/798.28 = 207.38/x
  3. Step 3: Cross multiply
    532.39x = 798.28 × 207.38
  4. Step 4: Simplify right side
    532.39x = 165,547.31
  5. Step 5: Solve for x
    x = 165,547.31/532.39
  6. Step 6: Final answer
    x = 310.95

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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.