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Finding the Fourth Proportional to 144, 198.24 and 134.76

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Solution

The fourth proportional to 144, 198.24 and 134.76 is: 185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 198.24 = 134.76 : x
  2. Step 2: Convert to fraction form
    144/198.24 = 134.76/x
  3. Step 3: Cross multiply
    144x = 198.24 × 134.76
  4. Step 4: Simplify right side
    144x = 26,714.82
  5. Step 5: Solve for x
    x = 26,714.82/144
  6. Step 6: Final answer
    x = 185.52

Related Problems

Find fourth proportional to 72, 99.12 and 67.38
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Double scale
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1.5x scale

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.