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Finding the Fourth Proportional to 344.94, 472.65 and 341.76

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Solution

The fourth proportional to 344.94, 472.65 and 341.76 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.94 : 472.65 = 341.76 : x
  2. Step 2: Convert to fraction form
    344.94/472.65 = 341.76/x
  3. Step 3: Cross multiply
    344.94x = 472.65 × 341.76
  4. Step 4: Simplify right side
    344.94x = 161,532.86
  5. Step 5: Solve for x
    x = 161,532.86/344.94
  6. Step 6: Final answer
    x = 468.29

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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.