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Finding the Fourth Proportional to 317.94, 438.80 and 199.95

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Solution

The fourth proportional to 317.94, 438.80 and 199.95 is: 275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.94 : 438.80 = 199.95 : x
  2. Step 2: Convert to fraction form
    317.94/438.80 = 199.95/x
  3. Step 3: Cross multiply
    317.94x = 438.80 × 199.95
  4. Step 4: Simplify right side
    317.94x = 87,737.06
  5. Step 5: Solve for x
    x = 87,737.06/317.94
  6. Step 6: Final answer
    x = 275.95

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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.