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Finding the Fourth Proportional to 258.19, 354.12 and 229.03

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Solution

The fourth proportional to 258.19, 354.12 and 229.03 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 354.12 = 229.03 : x
  2. Step 2: Convert to fraction form
    258.19/354.12 = 229.03/x
  3. Step 3: Cross multiply
    258.19x = 354.12 × 229.03
  4. Step 4: Simplify right side
    258.19x = 81,103.53
  5. Step 5: Solve for x
    x = 81,103.53/258.19
  6. Step 6: Final answer
    x = 314.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.