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Finding the Fourth Proportional to 207.39, 285.57 and 187.86

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Solution

The fourth proportional to 207.39, 285.57 and 187.86 is: 258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.39 : 285.57 = 187.86 : x
  2. Step 2: Convert to fraction form
    207.39/285.57 = 187.86/x
  3. Step 3: Cross multiply
    207.39x = 285.57 × 187.86
  4. Step 4: Simplify right side
    207.39x = 53,647.18
  5. Step 5: Solve for x
    x = 53,647.18/207.39
  6. Step 6: Final answer
    x = 258.68

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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.