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Finding the Fourth Proportional to 154.77, 231.75 and 130.35

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Solution

The fourth proportional to 154.77, 231.75 and 130.35 is: 195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.77 : 231.75 = 130.35 : x
  2. Step 2: Convert to fraction form
    154.77/231.75 = 130.35/x
  3. Step 3: Cross multiply
    154.77x = 231.75 × 130.35
  4. Step 4: Simplify right side
    154.77x = 30,208.61
  5. Step 5: Solve for x
    x = 30,208.61/154.77
  6. Step 6: Final answer
    x = 195.18

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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.