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Finding the Fourth Proportional to 489.26, 734.04 and 258.02

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Solution

The fourth proportional to 489.26, 734.04 and 258.02 is: 387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.26 : 734.04 = 258.02 : x
  2. Step 2: Convert to fraction form
    489.26/734.04 = 258.02/x
  3. Step 3: Cross multiply
    489.26x = 734.04 × 258.02
  4. Step 4: Simplify right side
    489.26x = 189,397.00
  5. Step 5: Solve for x
    x = 189,397.00/489.26
  6. Step 6: Final answer
    x = 387.11

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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.