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Finding the Fourth Proportional to 262.10, 359.32 and 261.78

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Solution

The fourth proportional to 262.10, 359.32 and 261.78 is: 358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.10 : 359.32 = 261.78 : x
  2. Step 2: Convert to fraction form
    262.10/359.32 = 261.78/x
  3. Step 3: Cross multiply
    262.10x = 359.32 × 261.78
  4. Step 4: Simplify right side
    262.10x = 94,062.79
  5. Step 5: Solve for x
    x = 94,062.79/262.10
  6. Step 6: Final answer
    x = 358.88

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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.