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Finding the Fourth Proportional to 532.30, 798.51 and 207.70

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Solution

The fourth proportional to 532.30, 798.51 and 207.70 is: 311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.30 : 798.51 = 207.70 : x
  2. Step 2: Convert to fraction form
    532.30/798.51 = 207.70/x
  3. Step 3: Cross multiply
    532.30x = 798.51 × 207.70
  4. Step 4: Simplify right side
    532.30x = 165,850.53
  5. Step 5: Solve for x
    x = 165,850.53/532.30
  6. Step 6: Final answer
    x = 311.57

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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.