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Finding the Fourth Proportional to 347.80, 520.74 and 296.14

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Solution

The fourth proportional to 347.80, 520.74 and 296.14 is: 443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.80 : 520.74 = 296.14 : x
  2. Step 2: Convert to fraction form
    347.80/520.74 = 296.14/x
  3. Step 3: Cross multiply
    347.80x = 520.74 × 296.14
  4. Step 4: Simplify right side
    347.80x = 154,211.94
  5. Step 5: Solve for x
    x = 154,211.94/347.80
  6. Step 6: Final answer
    x = 443.39

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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.