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Finding the Fourth Proportional to 152.23, 226.92 and 142.49

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Solution

The fourth proportional to 152.23, 226.92 and 142.49 is: 212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.23 : 226.92 = 142.49 : x
  2. Step 2: Convert to fraction form
    152.23/226.92 = 142.49/x
  3. Step 3: Cross multiply
    152.23x = 226.92 × 142.49
  4. Step 4: Simplify right side
    152.23x = 32,333.12
  5. Step 5: Solve for x
    x = 32,333.12/152.23
  6. Step 6: Final answer
    x = 212.40

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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.