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Finding the Fourth Proportional to 345.21, 513.90 and 343.38

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Solution

The fourth proportional to 345.21, 513.90 and 343.38 is: 511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.21 : 513.90 = 343.38 : x
  2. Step 2: Convert to fraction form
    345.21/513.90 = 343.38/x
  3. Step 3: Cross multiply
    345.21x = 513.90 × 343.38
  4. Step 4: Simplify right side
    345.21x = 176,462.98
  5. Step 5: Solve for x
    x = 176,462.98/345.21
  6. Step 6: Final answer
    x = 511.18

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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.