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Finding the Fourth Proportional to 354.79, 489.08 and 249.53

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Solution

The fourth proportional to 354.79, 489.08 and 249.53 is: 343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.79 : 489.08 = 249.53 : x
  2. Step 2: Convert to fraction form
    354.79/489.08 = 249.53/x
  3. Step 3: Cross multiply
    354.79x = 489.08 × 249.53
  4. Step 4: Simplify right side
    354.79x = 122,038.88
  5. Step 5: Solve for x
    x = 122,038.88/354.79
  6. Step 6: Final answer
    x = 343.98

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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.