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Finding the Fourth Proportional to 143.29, 214.49 and 102.52

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Solution

The fourth proportional to 143.29, 214.49 and 102.52 is: 153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.29 : 214.49 = 102.52 : x
  2. Step 2: Convert to fraction form
    143.29/214.49 = 102.52/x
  3. Step 3: Cross multiply
    143.29x = 214.49 × 102.52
  4. Step 4: Simplify right side
    143.29x = 21,988.11
  5. Step 5: Solve for x
    x = 21,988.11/143.29
  6. Step 6: Final answer
    x = 153.45

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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.