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Finding the Fourth Proportional to 143.61, 214.25 and 130.62

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Solution

The fourth proportional to 143.61, 214.25 and 130.62 is: 194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.61 : 214.25 = 130.62 : x
  2. Step 2: Convert to fraction form
    143.61/214.25 = 130.62/x
  3. Step 3: Cross multiply
    143.61x = 214.25 × 130.62
  4. Step 4: Simplify right side
    143.61x = 27,985.34
  5. Step 5: Solve for x
    x = 27,985.34/143.61
  6. Step 6: Final answer
    x = 194.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.