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Finding the Fourth Proportional to 142.37, 214.30 and 121.49

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Solution

The fourth proportional to 142.37, 214.30 and 121.49 is: 182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.37 : 214.30 = 121.49 : x
  2. Step 2: Convert to fraction form
    142.37/214.30 = 121.49/x
  3. Step 3: Cross multiply
    142.37x = 214.30 × 121.49
  4. Step 4: Simplify right side
    142.37x = 26,034.24
  5. Step 5: Solve for x
    x = 26,034.24/142.37
  6. Step 6: Final answer
    x = 182.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.