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Finding the Fourth Proportional to 261.66, 358.22 and 252.45

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Solution

The fourth proportional to 261.66, 358.22 and 252.45 is: 345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.66 : 358.22 = 252.45 : x
  2. Step 2: Convert to fraction form
    261.66/358.22 = 252.45/x
  3. Step 3: Cross multiply
    261.66x = 358.22 × 252.45
  4. Step 4: Simplify right side
    261.66x = 90,433.27
  5. Step 5: Solve for x
    x = 90,433.27/261.66
  6. Step 6: Final answer
    x = 345.61

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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.