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Finding the Fourth Proportional to 358.66, 494.69 and 252.14

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Solution

The fourth proportional to 358.66, 494.69 and 252.14 is: 347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.66 : 494.69 = 252.14 : x
  2. Step 2: Convert to fraction form
    358.66/494.69 = 252.14/x
  3. Step 3: Cross multiply
    358.66x = 494.69 × 252.14
  4. Step 4: Simplify right side
    358.66x = 124,731.60
  5. Step 5: Solve for x
    x = 124,731.60/358.66
  6. Step 6: Final answer
    x = 347.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.