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Finding the Fourth Proportional to 344.32, 471.20 and 342.40

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Solution

The fourth proportional to 344.32, 471.20 and 342.40 is: 468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.32 : 471.20 = 342.40 : x
  2. Step 2: Convert to fraction form
    344.32/471.20 = 342.40/x
  3. Step 3: Cross multiply
    344.32x = 471.20 × 342.40
  4. Step 4: Simplify right side
    344.32x = 161,338.88
  5. Step 5: Solve for x
    x = 161,338.88/344.32
  6. Step 6: Final answer
    x = 468.57

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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.