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Finding the Fourth Proportional to 207.39, 310.69 and 174.90

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Solution

The fourth proportional to 207.39, 310.69 and 174.90 is: 262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.39 : 310.69 = 174.90 : x
  2. Step 2: Convert to fraction form
    207.39/310.69 = 174.90/x
  3. Step 3: Cross multiply
    207.39x = 310.69 × 174.90
  4. Step 4: Simplify right side
    207.39x = 54,339.68
  5. Step 5: Solve for x
    x = 54,339.68/207.39
  6. Step 6: Final answer
    x = 262.02

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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.