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Finding the Fourth Proportional to 154.91, 230.37 and 150.05

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Solution

The fourth proportional to 154.91, 230.37 and 150.05 is: 223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.91 : 230.37 = 150.05 : x
  2. Step 2: Convert to fraction form
    154.91/230.37 = 150.05/x
  3. Step 3: Cross multiply
    154.91x = 230.37 × 150.05
  4. Step 4: Simplify right side
    154.91x = 34,565.87
  5. Step 5: Solve for x
    x = 34,565.87/154.91
  6. Step 6: Final answer
    x = 223.14

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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.