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Finding the Fourth Proportional to 187.31, 258.59 and 117.42

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Solution

The fourth proportional to 187.31, 258.59 and 117.42 is: 162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.31 : 258.59 = 117.42 : x
  2. Step 2: Convert to fraction form
    187.31/258.59 = 117.42/x
  3. Step 3: Cross multiply
    187.31x = 258.59 × 117.42
  4. Step 4: Simplify right side
    187.31x = 30,362.96
  5. Step 5: Solve for x
    x = 30,362.96/187.31
  6. Step 6: Final answer
    x = 162.10

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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.