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Finding the Fourth Proportional to 347.52, 480.96 and 298.56

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Solution

The fourth proportional to 347.52, 480.96 and 298.56 is: 413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.52 : 480.96 = 298.56 : x
  2. Step 2: Convert to fraction form
    347.52/480.96 = 298.56/x
  3. Step 3: Cross multiply
    347.52x = 480.96 × 298.56
  4. Step 4: Simplify right side
    347.52x = 143,595.42
  5. Step 5: Solve for x
    x = 143,595.42/347.52
  6. Step 6: Final answer
    x = 413.20

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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.