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Finding the Fourth Proportional to 154.41, 230.07 and 148.59

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Solution

The fourth proportional to 154.41, 230.07 and 148.59 is: 221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.41 : 230.07 = 148.59 : x
  2. Step 2: Convert to fraction form
    154.41/230.07 = 148.59/x
  3. Step 3: Cross multiply
    154.41x = 230.07 × 148.59
  4. Step 4: Simplify right side
    154.41x = 34,186.10
  5. Step 5: Solve for x
    x = 34,186.10/154.41
  6. Step 6: Final answer
    x = 221.40

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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.