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Finding the Fourth Proportional to 317.90, 438.54 and 207.56

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Solution

The fourth proportional to 317.90, 438.54 and 207.56 is: 286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.90 : 438.54 = 207.56 : x
  2. Step 2: Convert to fraction form
    317.90/438.54 = 207.56/x
  3. Step 3: Cross multiply
    317.90x = 438.54 × 207.56
  4. Step 4: Simplify right side
    317.90x = 91,023.36
  5. Step 5: Solve for x
    x = 91,023.36/317.90
  6. Step 6: Final answer
    x = 286.33

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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.