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Finding the Fourth Proportional to 180.58, 270.42 and 99.22

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Solution

The fourth proportional to 180.58, 270.42 and 99.22 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.58 : 270.42 = 99.22 : x
  2. Step 2: Convert to fraction form
    180.58/270.42 = 99.22/x
  3. Step 3: Cross multiply
    180.58x = 270.42 × 99.22
  4. Step 4: Simplify right side
    180.58x = 26,831.07
  5. Step 5: Solve for x
    x = 26,831.07/180.58
  6. Step 6: Final answer
    x = 148.58

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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.