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Finding the Fourth Proportional to 341.92, 472.20 and 262.40

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Solution

The fourth proportional to 341.92, 472.20 and 262.40 is: 362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.92 : 472.20 = 262.40 : x
  2. Step 2: Convert to fraction form
    341.92/472.20 = 262.40/x
  3. Step 3: Cross multiply
    341.92x = 472.20 × 262.40
  4. Step 4: Simplify right side
    341.92x = 123,905.28
  5. Step 5: Solve for x
    x = 123,905.28/341.92
  6. Step 6: Final answer
    x = 362.39

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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.