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Finding the Fourth Proportional to 317.80, 438.42 and 207.28

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Solution

The fourth proportional to 317.80, 438.42 and 207.28 is: 285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.80 : 438.42 = 207.28 : x
  2. Step 2: Convert to fraction form
    317.80/438.42 = 207.28/x
  3. Step 3: Cross multiply
    317.80x = 438.42 × 207.28
  4. Step 4: Simplify right side
    317.80x = 90,875.70
  5. Step 5: Solve for x
    x = 90,875.70/317.80
  6. Step 6: Final answer
    x = 285.95

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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.