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Finding the Fourth Proportional to 180.02, 248.47 and 130.31

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Solution

The fourth proportional to 180.02, 248.47 and 130.31 is: 179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 248.47 = 130.31 : x
  2. Step 2: Convert to fraction form
    180.02/248.47 = 130.31/x
  3. Step 3: Cross multiply
    180.02x = 248.47 × 130.31
  4. Step 4: Simplify right side
    180.02x = 32,377.49
  5. Step 5: Solve for x
    x = 32,377.49/180.02
  6. Step 6: Final answer
    x = 179.85

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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.