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Finding the Fourth Proportional to 317.74, 476.13 and 226.63

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Solution

The fourth proportional to 317.74, 476.13 and 226.63 is: 339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.74 : 476.13 = 226.63 : x
  2. Step 2: Convert to fraction form
    317.74/476.13 = 226.63/x
  3. Step 3: Cross multiply
    317.74x = 476.13 × 226.63
  4. Step 4: Simplify right side
    317.74x = 107,905.34
  5. Step 5: Solve for x
    x = 107,905.34/317.74
  6. Step 6: Final answer
    x = 339.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.