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Finding the Fourth Proportional to 143.90, 216.12 and 123.38

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Solution

The fourth proportional to 143.90, 216.12 and 123.38 is: 185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.90 : 216.12 = 123.38 : x
  2. Step 2: Convert to fraction form
    143.90/216.12 = 123.38/x
  3. Step 3: Cross multiply
    143.90x = 216.12 × 123.38
  4. Step 4: Simplify right side
    143.90x = 26,663.81
  5. Step 5: Solve for x
    x = 26,663.81/143.90
  6. Step 6: Final answer
    x = 185.30

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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.