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Finding the Fourth Proportional to 187.39, 258.06 and 175.65

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Solution

The fourth proportional to 187.39, 258.06 and 175.65 is: 241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.39 : 258.06 = 175.65 : x
  2. Step 2: Convert to fraction form
    187.39/258.06 = 175.65/x
  3. Step 3: Cross multiply
    187.39x = 258.06 × 175.65
  4. Step 4: Simplify right side
    187.39x = 45,328.24
  5. Step 5: Solve for x
    x = 45,328.24/187.39
  6. Step 6: Final answer
    x = 241.89

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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.