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Finding the Fourth Proportional to 342.32, 512.80 and 266.16

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Solution

The fourth proportional to 342.32, 512.80 and 266.16 is: 398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.32 : 512.80 = 266.16 : x
  2. Step 2: Convert to fraction form
    342.32/512.80 = 266.16/x
  3. Step 3: Cross multiply
    342.32x = 512.80 × 266.16
  4. Step 4: Simplify right side
    342.32x = 136,486.85
  5. Step 5: Solve for x
    x = 136,486.85/342.32
  6. Step 6: Final answer
    x = 398.71

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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.