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Finding the Fourth Proportional to 343.24, 512.03 and 316

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Solution

The fourth proportional to 343.24, 512.03 and 316 is: 471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 512.03 = 316 : x
  2. Step 2: Convert to fraction form
    343.24/512.03 = 316/x
  3. Step 3: Cross multiply
    343.24x = 512.03 × 316
  4. Step 4: Simplify right side
    343.24x = 161,801.48
  5. Step 5: Solve for x
    x = 161,801.48/343.24
  6. Step 6: Final answer
    x = 471.39

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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.