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Finding the Fourth Proportional to 348.61, 477.41 and 344.06

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Solution

The fourth proportional to 348.61, 477.41 and 344.06 is: 471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.61 : 477.41 = 344.06 : x
  2. Step 2: Convert to fraction form
    348.61/477.41 = 344.06/x
  3. Step 3: Cross multiply
    348.61x = 477.41 × 344.06
  4. Step 4: Simplify right side
    348.61x = 164,253.58
  5. Step 5: Solve for x
    x = 164,253.58/348.61
  6. Step 6: Final answer
    x = 471.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.