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Finding the Fourth Proportional to 179.78, 247.82 and 130.58

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Solution

The fourth proportional to 179.78, 247.82 and 130.58 is: 180.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.78 : 247.82 = 130.58 : x
  2. Step 2: Convert to fraction form
    179.78/247.82 = 130.58/x
  3. Step 3: Cross multiply
    179.78x = 247.82 × 130.58
  4. Step 4: Simplify right side
    179.78x = 32,360.34
  5. Step 5: Solve for x
    x = 32,360.34/179.78
  6. Step 6: Final answer
    x = 180.00

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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.