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Finding the Fourth Proportional to 317.31, 473.67 and 274.25

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Solution

The fourth proportional to 317.31, 473.67 and 274.25 is: 409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.31 : 473.67 = 274.25 : x
  2. Step 2: Convert to fraction form
    317.31/473.67 = 274.25/x
  3. Step 3: Cross multiply
    317.31x = 473.67 × 274.25
  4. Step 4: Simplify right side
    317.31x = 129,900.26
  5. Step 5: Solve for x
    x = 129,900.26/317.31
  6. Step 6: Final answer
    x = 409.39

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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.