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Finding the Fourth Proportional to 434.74, 599.97 and 257.66

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Solution

The fourth proportional to 434.74, 599.97 and 257.66 is: 355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.74 : 599.97 = 257.66 : x
  2. Step 2: Convert to fraction form
    434.74/599.97 = 257.66/x
  3. Step 3: Cross multiply
    434.74x = 599.97 × 257.66
  4. Step 4: Simplify right side
    434.74x = 154,589.69
  5. Step 5: Solve for x
    x = 154,589.69/434.74
  6. Step 6: Final answer
    x = 355.59

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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.