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Finding the Fourth Proportional to 347.03, 478.41 and 253.78

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Solution

The fourth proportional to 347.03, 478.41 and 253.78 is: 349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.03 : 478.41 = 253.78 : x
  2. Step 2: Convert to fraction form
    347.03/478.41 = 253.78/x
  3. Step 3: Cross multiply
    347.03x = 478.41 × 253.78
  4. Step 4: Simplify right side
    347.03x = 121,411.43
  5. Step 5: Solve for x
    x = 121,411.43/347.03
  6. Step 6: Final answer
    x = 349.85

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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.