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Finding the Fourth Proportional to 169.64, 234.34 and 155.06

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Solution

The fourth proportional to 169.64, 234.34 and 155.06 is: 214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.64 : 234.34 = 155.06 : x
  2. Step 2: Convert to fraction form
    169.64/234.34 = 155.06/x
  3. Step 3: Cross multiply
    169.64x = 234.34 × 155.06
  4. Step 4: Simplify right side
    169.64x = 36,336.76
  5. Step 5: Solve for x
    x = 36,336.76/169.64
  6. Step 6: Final answer
    x = 214.20

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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.