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Finding the Fourth Proportional to 347.76, 519.75 and 274.86

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Solution

The fourth proportional to 347.76, 519.75 and 274.86 is: 410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.76 : 519.75 = 274.86 : x
  2. Step 2: Convert to fraction form
    347.76/519.75 = 274.86/x
  3. Step 3: Cross multiply
    347.76x = 519.75 × 274.86
  4. Step 4: Simplify right side
    347.76x = 142,858.49
  5. Step 5: Solve for x
    x = 142,858.49/347.76
  6. Step 6: Final answer
    x = 410.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.