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Finding the Fourth Proportional to 179.84, 248.31 and 130.83

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Solution

The fourth proportional to 179.84, 248.31 and 130.83 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.84 : 248.31 = 130.83 : x
  2. Step 2: Convert to fraction form
    179.84/248.31 = 130.83/x
  3. Step 3: Cross multiply
    179.84x = 248.31 × 130.83
  4. Step 4: Simplify right side
    179.84x = 32,486.40
  5. Step 5: Solve for x
    x = 32,486.40/179.84
  6. Step 6: Final answer
    x = 180.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.