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Finding the Fourth Proportional to 318.16, 438.78 and 255.98

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Solution

The fourth proportional to 318.16, 438.78 and 255.98 is: 353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.16 : 438.78 = 255.98 : x
  2. Step 2: Convert to fraction form
    318.16/438.78 = 255.98/x
  3. Step 3: Cross multiply
    318.16x = 438.78 × 255.98
  4. Step 4: Simplify right side
    318.16x = 112,316.71
  5. Step 5: Solve for x
    x = 112,316.71/318.16
  6. Step 6: Final answer
    x = 353.02

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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.