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Finding the Fourth Proportional to 489.14, 733.15 and 258.29

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Solution

The fourth proportional to 489.14, 733.15 and 258.29 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.14 : 733.15 = 258.29 : x
  2. Step 2: Convert to fraction form
    489.14/733.15 = 258.29/x
  3. Step 3: Cross multiply
    489.14x = 733.15 × 258.29
  4. Step 4: Simplify right side
    489.14x = 189,364.72
  5. Step 5: Solve for x
    x = 189,364.72/489.14
  6. Step 6: Final answer
    x = 387.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.