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Finding the Fourth Proportional to 252.83, 379.53 and 143.16

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Solution

The fourth proportional to 252.83, 379.53 and 143.16 is: 214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.83 : 379.53 = 143.16 : x
  2. Step 2: Convert to fraction form
    252.83/379.53 = 143.16/x
  3. Step 3: Cross multiply
    252.83x = 379.53 × 143.16
  4. Step 4: Simplify right side
    252.83x = 54,333.51
  5. Step 5: Solve for x
    x = 54,333.51/252.83
  6. Step 6: Final answer
    x = 214.91

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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.