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Finding the Fourth Proportional to 434.78, 600.02 and 257.85

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Solution

The fourth proportional to 434.78, 600.02 and 257.85 is: 355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.78 : 600.02 = 257.85 : x
  2. Step 2: Convert to fraction form
    434.78/600.02 = 257.85/x
  3. Step 3: Cross multiply
    434.78x = 600.02 × 257.85
  4. Step 4: Simplify right side
    434.78x = 154,713.87
  5. Step 5: Solve for x
    x = 154,713.87/434.78
  6. Step 6: Final answer
    x = 355.85

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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.