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Finding the Fourth Proportional to 318.07, 438.63 and 213.18

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Solution

The fourth proportional to 318.07, 438.63 and 213.18 is: 293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.07 : 438.63 = 213.18 : x
  2. Step 2: Convert to fraction form
    318.07/438.63 = 213.18/x
  3. Step 3: Cross multiply
    318.07x = 438.63 × 213.18
  4. Step 4: Simplify right side
    318.07x = 93,507.14
  5. Step 5: Solve for x
    x = 93,507.14/318.07
  6. Step 6: Final answer
    x = 293.98

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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.