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Finding the Fourth Proportional to 402.90, 604.61 and 258.72

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Solution

The fourth proportional to 402.90, 604.61 and 258.72 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.90 : 604.61 = 258.72 : x
  2. Step 2: Convert to fraction form
    402.90/604.61 = 258.72/x
  3. Step 3: Cross multiply
    402.90x = 604.61 × 258.72
  4. Step 4: Simplify right side
    402.90x = 156,422.32
  5. Step 5: Solve for x
    x = 156,422.32/402.90
  6. Step 6: Final answer
    x = 388.25

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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.