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Finding the Fourth Proportional to 154.20, 230.98 and 130.07

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Solution

The fourth proportional to 154.20, 230.98 and 130.07 is: 194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 230.98 = 130.07 : x
  2. Step 2: Convert to fraction form
    154.20/230.98 = 130.07/x
  3. Step 3: Cross multiply
    154.20x = 230.98 × 130.07
  4. Step 4: Simplify right side
    154.20x = 30,043.82
  5. Step 5: Solve for x
    x = 30,043.82/154.20
  6. Step 6: Final answer
    x = 194.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.