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Finding the Fourth Proportional to 317.49, 438.36 and 199.50

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Solution

The fourth proportional to 317.49, 438.36 and 199.50 is: 275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.49 : 438.36 = 199.50 : x
  2. Step 2: Convert to fraction form
    317.49/438.36 = 199.50/x
  3. Step 3: Cross multiply
    317.49x = 438.36 × 199.50
  4. Step 4: Simplify right side
    317.49x = 87,452.82
  5. Step 5: Solve for x
    x = 87,452.82/317.49
  6. Step 6: Final answer
    x = 275.45

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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.