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Finding the Fourth Proportional to 347.07, 478.76 and 248.85

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Solution

The fourth proportional to 347.07, 478.76 and 248.85 is: 343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.07 : 478.76 = 248.85 : x
  2. Step 2: Convert to fraction form
    347.07/478.76 = 248.85/x
  3. Step 3: Cross multiply
    347.07x = 478.76 × 248.85
  4. Step 4: Simplify right side
    347.07x = 119,138.18
  5. Step 5: Solve for x
    x = 119,138.18/347.07
  6. Step 6: Final answer
    x = 343.27

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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.