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Finding the Fourth Proportional to 180.23, 270.14 and 99.02

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Solution

The fourth proportional to 180.23, 270.14 and 99.02 is: 148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 270.14 = 99.02 : x
  2. Step 2: Convert to fraction form
    180.23/270.14 = 99.02/x
  3. Step 3: Cross multiply
    180.23x = 270.14 × 99.02
  4. Step 4: Simplify right side
    180.23x = 26,749.44
  5. Step 5: Solve for x
    x = 26,749.44/180.23
  6. Step 6: Final answer
    x = 148.42

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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.