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Finding the Fourth Proportional to 318.14, 438.82 and 213.18

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Solution

The fourth proportional to 318.14, 438.82 and 213.18 is: 294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.14 : 438.82 = 213.18 : x
  2. Step 2: Convert to fraction form
    318.14/438.82 = 213.18/x
  3. Step 3: Cross multiply
    318.14x = 438.82 × 213.18
  4. Step 4: Simplify right side
    318.14x = 93,547.65
  5. Step 5: Solve for x
    x = 93,547.65/318.14
  6. Step 6: Final answer
    x = 294.05

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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.