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Finding the Fourth Proportional to 180.04, 248.16 and 130.83

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Solution

The fourth proportional to 180.04, 248.16 and 130.83 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 248.16 = 130.83 : x
  2. Step 2: Convert to fraction form
    180.04/248.16 = 130.83/x
  3. Step 3: Cross multiply
    180.04x = 248.16 × 130.83
  4. Step 4: Simplify right side
    180.04x = 32,466.77
  5. Step 5: Solve for x
    x = 32,466.77/180.04
  6. Step 6: Final answer
    x = 180.33

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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.