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Finding the Fourth Proportional to 347.41, 478.77 and 249.00

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Solution

The fourth proportional to 347.41, 478.77 and 249.00 is: 343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.41 : 478.77 = 249.00 : x
  2. Step 2: Convert to fraction form
    347.41/478.77 = 249.00/x
  3. Step 3: Cross multiply
    347.41x = 478.77 × 249.00
  4. Step 4: Simplify right side
    347.41x = 119,210.09
  5. Step 5: Solve for x
    x = 119,210.09/347.41
  6. Step 6: Final answer
    x = 343.14

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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.