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Finding the Fourth Proportional to 434.83, 600.15 and 257.83

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Solution

The fourth proportional to 434.83, 600.15 and 257.83 is: 355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.83 : 600.15 = 257.83 : x
  2. Step 2: Convert to fraction form
    434.83/600.15 = 257.83/x
  3. Step 3: Cross multiply
    434.83x = 600.15 × 257.83
  4. Step 4: Simplify right side
    434.83x = 154,736.67
  5. Step 5: Solve for x
    x = 154,736.67/434.83
  6. Step 6: Final answer
    x = 355.86

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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.