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Finding the Fourth Proportional to 344.73, 514.55 and 317.27

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Solution

The fourth proportional to 344.73, 514.55 and 317.27 is: 473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.73 : 514.55 = 317.27 : x
  2. Step 2: Convert to fraction form
    344.73/514.55 = 317.27/x
  3. Step 3: Cross multiply
    344.73x = 514.55 × 317.27
  4. Step 4: Simplify right side
    344.73x = 163,250.98
  5. Step 5: Solve for x
    x = 163,250.98/344.73
  6. Step 6: Final answer
    x = 473.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.