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Finding the Fourth Proportional to 306.75, 420.61 and 297.64

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Solution

The fourth proportional to 306.75, 420.61 and 297.64 is: 408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 420.61 = 297.64 : x
  2. Step 2: Convert to fraction form
    306.75/420.61 = 297.64/x
  3. Step 3: Cross multiply
    306.75x = 420.61 × 297.64
  4. Step 4: Simplify right side
    306.75x = 125,186.77
  5. Step 5: Solve for x
    x = 125,186.77/306.75
  6. Step 6: Final answer
    x = 408.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.