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Finding the Fourth Proportional to 461.16, 690.32 and 268.20

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Solution

The fourth proportional to 461.16, 690.32 and 268.20 is: 401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.16 : 690.32 = 268.20 : x
  2. Step 2: Convert to fraction form
    461.16/690.32 = 268.20/x
  3. Step 3: Cross multiply
    461.16x = 690.32 × 268.20
  4. Step 4: Simplify right side
    461.16x = 185,143.82
  5. Step 5: Solve for x
    x = 185,143.82/461.16
  6. Step 6: Final answer
    x = 401.47

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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.