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Finding the Fourth Proportional to 265.69, 398.03 and 207.64

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Solution

The fourth proportional to 265.69, 398.03 and 207.64 is: 311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.69 : 398.03 = 207.64 : x
  2. Step 2: Convert to fraction form
    265.69/398.03 = 207.64/x
  3. Step 3: Cross multiply
    265.69x = 398.03 × 207.64
  4. Step 4: Simplify right side
    265.69x = 82,644.92
  5. Step 5: Solve for x
    x = 82,644.92/265.69
  6. Step 6: Final answer
    x = 311.06

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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.