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Finding the Fourth Proportional to 187.06, 258.16 and 104.18

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Solution

The fourth proportional to 187.06, 258.16 and 104.18 is: 143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.06 : 258.16 = 104.18 : x
  2. Step 2: Convert to fraction form
    187.06/258.16 = 104.18/x
  3. Step 3: Cross multiply
    187.06x = 258.16 × 104.18
  4. Step 4: Simplify right side
    187.06x = 26,895.11
  5. Step 5: Solve for x
    x = 26,895.11/187.06
  6. Step 6: Final answer
    x = 143.78

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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.