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Finding the Fourth Proportional to 344.50, 475.62 and 270.64

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Solution

The fourth proportional to 344.50, 475.62 and 270.64 is: 373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.50 : 475.62 = 270.64 : x
  2. Step 2: Convert to fraction form
    344.50/475.62 = 270.64/x
  3. Step 3: Cross multiply
    344.50x = 475.62 × 270.64
  4. Step 4: Simplify right side
    344.50x = 128,721.80
  5. Step 5: Solve for x
    x = 128,721.80/344.50
  6. Step 6: Final answer
    x = 373.65

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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.