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Finding the Fourth Proportional to 187.51, 258.85 and 117.74

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Solution

The fourth proportional to 187.51, 258.85 and 117.74 is: 162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.51 : 258.85 = 117.74 : x
  2. Step 2: Convert to fraction form
    187.51/258.85 = 117.74/x
  3. Step 3: Cross multiply
    187.51x = 258.85 × 117.74
  4. Step 4: Simplify right side
    187.51x = 30,477.00
  5. Step 5: Solve for x
    x = 30,477.00/187.51
  6. Step 6: Final answer
    x = 162.54

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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.