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Finding the Fourth Proportional to 343.79, 513.31 and 309.24

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Solution

The fourth proportional to 343.79, 513.31 and 309.24 is: 461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.79 : 513.31 = 309.24 : x
  2. Step 2: Convert to fraction form
    343.79/513.31 = 309.24/x
  3. Step 3: Cross multiply
    343.79x = 513.31 × 309.24
  4. Step 4: Simplify right side
    343.79x = 158,738.10
  5. Step 5: Solve for x
    x = 158,738.10/343.79
  6. Step 6: Final answer
    x = 461.72

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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.