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Finding the Fourth Proportional to 258.35, 387.26 and 121.49

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Solution

The fourth proportional to 258.35, 387.26 and 121.49 is: 182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.35 : 387.26 = 121.49 : x
  2. Step 2: Convert to fraction form
    258.35/387.26 = 121.49/x
  3. Step 3: Cross multiply
    258.35x = 387.26 × 121.49
  4. Step 4: Simplify right side
    258.35x = 47,045.67
  5. Step 5: Solve for x
    x = 47,045.67/258.35
  6. Step 6: Final answer
    x = 182.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.