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Finding the Fourth Proportional to 334.56, 498.31 and 317.22

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Solution

The fourth proportional to 334.56, 498.31 and 317.22 is: 472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.56 : 498.31 = 317.22 : x
  2. Step 2: Convert to fraction form
    334.56/498.31 = 317.22/x
  3. Step 3: Cross multiply
    334.56x = 498.31 × 317.22
  4. Step 4: Simplify right side
    334.56x = 158,073.90
  5. Step 5: Solve for x
    x = 158,073.90/334.56
  6. Step 6: Final answer
    x = 472.48

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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.