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Finding the Fourth Proportional to 344.16, 474.12 and 311.04

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Solution

The fourth proportional to 344.16, 474.12 and 311.04 is: 428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.16 : 474.12 = 311.04 : x
  2. Step 2: Convert to fraction form
    344.16/474.12 = 311.04/x
  3. Step 3: Cross multiply
    344.16x = 474.12 × 311.04
  4. Step 4: Simplify right side
    344.16x = 147,470.28
  5. Step 5: Solve for x
    x = 147,470.28/344.16
  6. Step 6: Final answer
    x = 428.49

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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.