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Finding the Fourth Proportional to 207.56, 285.98 and 149.24

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Solution

The fourth proportional to 207.56, 285.98 and 149.24 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 285.98 = 149.24 : x
  2. Step 2: Convert to fraction form
    207.56/285.98 = 149.24/x
  3. Step 3: Cross multiply
    207.56x = 285.98 × 149.24
  4. Step 4: Simplify right side
    207.56x = 42,679.66
  5. Step 5: Solve for x
    x = 42,679.66/207.56
  6. Step 6: Final answer
    x = 205.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.