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Finding the Fourth Proportional to 434.45, 599.49 and 257.42

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Solution

The fourth proportional to 434.45, 599.49 and 257.42 is: 355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.45 : 599.49 = 257.42 : x
  2. Step 2: Convert to fraction form
    434.45/599.49 = 257.42/x
  3. Step 3: Cross multiply
    434.45x = 599.49 × 257.42
  4. Step 4: Simplify right side
    434.45x = 154,320.72
  5. Step 5: Solve for x
    x = 154,320.72/434.45
  6. Step 6: Final answer
    x = 355.21

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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.