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Finding the Fourth Proportional to 434.99, 600.21 and 257.90

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Solution

The fourth proportional to 434.99, 600.21 and 257.90 is: 355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.99 : 600.21 = 257.90 : x
  2. Step 2: Convert to fraction form
    434.99/600.21 = 257.90/x
  3. Step 3: Cross multiply
    434.99x = 600.21 × 257.90
  4. Step 4: Simplify right side
    434.99x = 154,796.06
  5. Step 5: Solve for x
    x = 154,796.06/434.99
  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.