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Finding the Fourth Proportional to 237.90, 354.32 and 229.40

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Solution

The fourth proportional to 237.90, 354.32 and 229.40 is: 341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.90 : 354.32 = 229.40 : x
  2. Step 2: Convert to fraction form
    237.90/354.32 = 229.40/x
  3. Step 3: Cross multiply
    237.90x = 354.32 × 229.40
  4. Step 4: Simplify right side
    237.90x = 81,278.09
  5. Step 5: Solve for x
    x = 81,278.09/237.90
  6. Step 6: Final answer
    x = 341.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.