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Finding the Fourth Proportional to 154.48, 230.60 and 141.64

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Solution

The fourth proportional to 154.48, 230.60 and 141.64 is: 211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.48 : 230.60 = 141.64 : x
  2. Step 2: Convert to fraction form
    154.48/230.60 = 141.64/x
  3. Step 3: Cross multiply
    154.48x = 230.60 × 141.64
  4. Step 4: Simplify right side
    154.48x = 32,662.18
  5. Step 5: Solve for x
    x = 32,662.18/154.48
  6. Step 6: Final answer
    x = 211.43

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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.