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Finding the Fourth Proportional to 317.70, 437.94 and 230.22

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Solution

The fourth proportional to 317.70, 437.94 and 230.22 is: 317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.70 : 437.94 = 230.22 : x
  2. Step 2: Convert to fraction form
    317.70/437.94 = 230.22/x
  3. Step 3: Cross multiply
    317.70x = 437.94 × 230.22
  4. Step 4: Simplify right side
    317.70x = 100,822.55
  5. Step 5: Solve for x
    x = 100,822.55/317.70
  6. Step 6: Final answer
    x = 317.35

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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.