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Finding the Fourth Proportional to 347.88, 480.24 and 338.16

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Solution

The fourth proportional to 347.88, 480.24 and 338.16 is: 466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.88 : 480.24 = 338.16 : x
  2. Step 2: Convert to fraction form
    347.88/480.24 = 338.16/x
  3. Step 3: Cross multiply
    347.88x = 480.24 × 338.16
  4. Step 4: Simplify right side
    347.88x = 162,397.96
  5. Step 5: Solve for x
    x = 162,397.96/347.88
  6. Step 6: Final answer
    x = 466.82

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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.