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Finding the Fourth Proportional to 532.31, 798.86 and 207.67

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Solution

The fourth proportional to 532.31, 798.86 and 207.67 is: 311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.31 : 798.86 = 207.67 : x
  2. Step 2: Convert to fraction form
    532.31/798.86 = 207.67/x
  3. Step 3: Cross multiply
    532.31x = 798.86 × 207.67
  4. Step 4: Simplify right side
    532.31x = 165,899.26
  5. Step 5: Solve for x
    x = 165,899.26/532.31
  6. Step 6: Final answer
    x = 311.66

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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.