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Finding the Fourth Proportional to 207.24, 311.13 and 175.38

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Solution

The fourth proportional to 207.24, 311.13 and 175.38 is: 263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.24 : 311.13 = 175.38 : x
  2. Step 2: Convert to fraction form
    207.24/311.13 = 175.38/x
  3. Step 3: Cross multiply
    207.24x = 311.13 × 175.38
  4. Step 4: Simplify right side
    207.24x = 54,565.98
  5. Step 5: Solve for x
    x = 54,565.98/207.24
  6. Step 6: Final answer
    x = 263.30

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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.