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Finding the Fourth Proportional to 354.90, 489.92 and 237.08

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Solution

The fourth proportional to 354.90, 489.92 and 237.08 is: 327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.90 : 489.92 = 237.08 : x
  2. Step 2: Convert to fraction form
    354.90/489.92 = 237.08/x
  3. Step 3: Cross multiply
    354.90x = 489.92 × 237.08
  4. Step 4: Simplify right side
    354.90x = 116,146.60
  5. Step 5: Solve for x
    x = 116,146.60/354.90
  6. Step 6: Final answer
    x = 327.27

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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.