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Finding the Fourth Proportional to 344.52, 472.10 and 311.72

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Solution

The fourth proportional to 344.52, 472.10 and 311.72 is: 427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.52 : 472.10 = 311.72 : x
  2. Step 2: Convert to fraction form
    344.52/472.10 = 311.72/x
  3. Step 3: Cross multiply
    344.52x = 472.10 × 311.72
  4. Step 4: Simplify right side
    344.52x = 147,159.09
  5. Step 5: Solve for x
    x = 147,159.09/344.52
  6. Step 6: Final answer
    x = 427.14

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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.