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Finding the Fourth Proportional to 318.30, 439.10 and 297.18

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Solution

The fourth proportional to 318.30, 439.10 and 297.18 is: 409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.30 : 439.10 = 297.18 : x
  2. Step 2: Convert to fraction form
    318.30/439.10 = 297.18/x
  3. Step 3: Cross multiply
    318.30x = 439.10 × 297.18
  4. Step 4: Simplify right side
    318.30x = 130,491.74
  5. Step 5: Solve for x
    x = 130,491.74/318.30
  6. Step 6: Final answer
    x = 409.96

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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.