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Finding the Fourth Proportional to 342.82, 511.39 and 306.37

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Solution

The fourth proportional to 342.82, 511.39 and 306.37 is: 457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.82 : 511.39 = 306.37 : x
  2. Step 2: Convert to fraction form
    342.82/511.39 = 306.37/x
  3. Step 3: Cross multiply
    342.82x = 511.39 × 306.37
  4. Step 4: Simplify right side
    342.82x = 156,674.55
  5. Step 5: Solve for x
    x = 156,674.55/342.82
  6. Step 6: Final answer
    x = 457.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.