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Finding the Fourth Proportional to 154.65, 213.28 and 121.47

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Solution

The fourth proportional to 154.65, 213.28 and 121.47 is: 167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.65 : 213.28 = 121.47 : x
  2. Step 2: Convert to fraction form
    154.65/213.28 = 121.47/x
  3. Step 3: Cross multiply
    154.65x = 213.28 × 121.47
  4. Step 4: Simplify right side
    154.65x = 25,907.12
  5. Step 5: Solve for x
    x = 25,907.12/154.65
  6. Step 6: Final answer
    x = 167.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.