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Finding the Fourth Proportional to 154.65, 230.71 and 136.65

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Solution

The fourth proportional to 154.65, 230.71 and 136.65 is: 203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.65 : 230.71 = 136.65 : x
  2. Step 2: Convert to fraction form
    154.65/230.71 = 136.65/x
  3. Step 3: Cross multiply
    154.65x = 230.71 × 136.65
  4. Step 4: Simplify right side
    154.65x = 31,526.18
  5. Step 5: Solve for x
    x = 31,526.18/154.65
  6. Step 6: Final answer
    x = 203.86

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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.