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Finding the Fourth Proportional to 343.56, 472.72 and 334

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Solution

The fourth proportional to 343.56, 472.72 and 334 is: 459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.56 : 472.72 = 334 : x
  2. Step 2: Convert to fraction form
    343.56/472.72 = 334/x
  3. Step 3: Cross multiply
    343.56x = 472.72 × 334
  4. Step 4: Simplify right side
    343.56x = 157,888.48
  5. Step 5: Solve for x
    x = 157,888.48/343.56
  6. Step 6: Final answer
    x = 459.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.