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Finding the Fourth Proportional to 342.22, 512.53 and 169.01

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Solution

The fourth proportional to 342.22, 512.53 and 169.01 is: 253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.22 : 512.53 = 169.01 : x
  2. Step 2: Convert to fraction form
    342.22/512.53 = 169.01/x
  3. Step 3: Cross multiply
    342.22x = 512.53 × 169.01
  4. Step 4: Simplify right side
    342.22x = 86,622.70
  5. Step 5: Solve for x
    x = 86,622.70/342.22
  6. Step 6: Final answer
    x = 253.12

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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.