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Finding the Fourth Proportional to 461.05, 690.86 and 243.97

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Solution

The fourth proportional to 461.05, 690.86 and 243.97 is: 365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.05 : 690.86 = 243.97 : x
  2. Step 2: Convert to fraction form
    461.05/690.86 = 243.97/x
  3. Step 3: Cross multiply
    461.05x = 690.86 × 243.97
  4. Step 4: Simplify right side
    461.05x = 168,547.89
  5. Step 5: Solve for x
    x = 168,547.89/461.05
  6. Step 6: Final answer
    x = 365.57

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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.