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Finding the Fourth Proportional to 152.19, 226.71 and 142.89

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Solution

The fourth proportional to 152.19, 226.71 and 142.89 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.19 : 226.71 = 142.89 : x
  2. Step 2: Convert to fraction form
    152.19/226.71 = 142.89/x
  3. Step 3: Cross multiply
    152.19x = 226.71 × 142.89
  4. Step 4: Simplify right side
    152.19x = 32,394.59
  5. Step 5: Solve for x
    x = 32,394.59/152.19
  6. Step 6: Final answer
    x = 212.86

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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.