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Finding the Fourth Proportional to 347.77, 520.97 and 282.84

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Solution

The fourth proportional to 347.77, 520.97 and 282.84 is: 423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.77 : 520.97 = 282.84 : x
  2. Step 2: Convert to fraction form
    347.77/520.97 = 282.84/x
  3. Step 3: Cross multiply
    347.77x = 520.97 × 282.84
  4. Step 4: Simplify right side
    347.77x = 147,351.75
  5. Step 5: Solve for x
    x = 147,351.75/347.77
  6. Step 6: Final answer
    x = 423.70

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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.