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Finding the Fourth Proportional to 347.38, 478.78 and 242.15

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Solution

The fourth proportional to 347.38, 478.78 and 242.15 is: 333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.38 : 478.78 = 242.15 : x
  2. Step 2: Convert to fraction form
    347.38/478.78 = 242.15/x
  3. Step 3: Cross multiply
    347.38x = 478.78 × 242.15
  4. Step 4: Simplify right side
    347.38x = 115,933.58
  5. Step 5: Solve for x
    x = 115,933.58/347.38
  6. Step 6: Final answer
    x = 333.74

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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.