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Finding the Fourth Proportional to 152.56, 226.98 and 143.92

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Solution

The fourth proportional to 152.56, 226.98 and 143.92 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.56 : 226.98 = 143.92 : x
  2. Step 2: Convert to fraction form
    152.56/226.98 = 143.92/x
  3. Step 3: Cross multiply
    152.56x = 226.98 × 143.92
  4. Step 4: Simplify right side
    152.56x = 32,666.96
  5. Step 5: Solve for x
    x = 32,666.96/152.56
  6. Step 6: Final answer
    x = 214.13

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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.