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Finding the Fourth Proportional to 306.48, 425.49 and 297.57

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Solution

The fourth proportional to 306.48, 425.49 and 297.57 is: 413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 425.49 = 297.57 : x
  2. Step 2: Convert to fraction form
    306.48/425.49 = 297.57/x
  3. Step 3: Cross multiply
    306.48x = 425.49 × 297.57
  4. Step 4: Simplify right side
    306.48x = 126,613.06
  5. Step 5: Solve for x
    x = 126,613.06/306.48
  6. Step 6: Final answer
    x = 413.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.