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Finding the Fourth Proportional to 187.10, 258.16 and 121.58

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Solution

The fourth proportional to 187.10, 258.16 and 121.58 is: 167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.10 : 258.16 = 121.58 : x
  2. Step 2: Convert to fraction form
    187.10/258.16 = 121.58/x
  3. Step 3: Cross multiply
    187.10x = 258.16 × 121.58
  4. Step 4: Simplify right side
    187.10x = 31,386.48
  5. Step 5: Solve for x
    x = 31,386.48/187.10
  6. Step 6: Final answer
    x = 167.75

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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.