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Finding the Fourth Proportional to 187.40, 258.54 and 116.48

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Solution

The fourth proportional to 187.40, 258.54 and 116.48 is: 160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.40 : 258.54 = 116.48 : x
  2. Step 2: Convert to fraction form
    187.40/258.54 = 116.48/x
  3. Step 3: Cross multiply
    187.40x = 258.54 × 116.48
  4. Step 4: Simplify right side
    187.40x = 30,113.74
  5. Step 5: Solve for x
    x = 30,113.74/187.40
  6. Step 6: Final answer
    x = 160.69

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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.