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Finding the Fourth Proportional to 322.98, 444.87 and 257.10

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Solution

The fourth proportional to 322.98, 444.87 and 257.10 is: 354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 444.87 = 257.10 : x
  2. Step 2: Convert to fraction form
    322.98/444.87 = 257.10/x
  3. Step 3: Cross multiply
    322.98x = 444.87 × 257.10
  4. Step 4: Simplify right side
    322.98x = 114,376.08
  5. Step 5: Solve for x
    x = 114,376.08/322.98
  6. Step 6: Final answer
    x = 354.13

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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.