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Finding the Fourth Proportional to 347.99, 522.05 and 255.74

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Solution

The fourth proportional to 347.99, 522.05 and 255.74 is: 383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.99 : 522.05 = 255.74 : x
  2. Step 2: Convert to fraction form
    347.99/522.05 = 255.74/x
  3. Step 3: Cross multiply
    347.99x = 522.05 × 255.74
  4. Step 4: Simplify right side
    347.99x = 133,505.18
  5. Step 5: Solve for x
    x = 133,505.18/347.99
  6. Step 6: Final answer
    x = 383.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.