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Finding the Fourth Proportional to 169.14, 234.57 and 152.94

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Solution

The fourth proportional to 169.14, 234.57 and 152.94 is: 212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.14 : 234.57 = 152.94 : x
  2. Step 2: Convert to fraction form
    169.14/234.57 = 152.94/x
  3. Step 3: Cross multiply
    169.14x = 234.57 × 152.94
  4. Step 4: Simplify right side
    169.14x = 35,875.14
  5. Step 5: Solve for x
    x = 35,875.14/169.14
  6. Step 6: Final answer
    x = 212.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.