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Finding the Fourth Proportional to 354.18, 488.59 and 229.95

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Solution

The fourth proportional to 354.18, 488.59 and 229.95 is: 317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.18 : 488.59 = 229.95 : x
  2. Step 2: Convert to fraction form
    354.18/488.59 = 229.95/x
  3. Step 3: Cross multiply
    354.18x = 488.59 × 229.95
  4. Step 4: Simplify right side
    354.18x = 112,351.27
  5. Step 5: Solve for x
    x = 112,351.27/354.18
  6. Step 6: Final answer
    x = 317.22

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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.