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Finding the Fourth Proportional to 354.72, 489.24 and 256.80

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Solution

The fourth proportional to 354.72, 489.24 and 256.80 is: 354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.72 : 489.24 = 256.80 : x
  2. Step 2: Convert to fraction form
    354.72/489.24 = 256.80/x
  3. Step 3: Cross multiply
    354.72x = 489.24 × 256.80
  4. Step 4: Simplify right side
    354.72x = 125,636.83
  5. Step 5: Solve for x
    x = 125,636.83/354.72
  6. Step 6: Final answer
    x = 354.19

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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.