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Finding the Fourth Proportional to 343.06, 472.86 and 264.69

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Solution

The fourth proportional to 343.06, 472.86 and 264.69 is: 364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.06 : 472.86 = 264.69 : x
  2. Step 2: Convert to fraction form
    343.06/472.86 = 264.69/x
  3. Step 3: Cross multiply
    343.06x = 472.86 × 264.69
  4. Step 4: Simplify right side
    343.06x = 125,161.31
  5. Step 5: Solve for x
    x = 125,161.31/343.06
  6. Step 6: Final answer
    x = 364.84

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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.