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Finding the Fourth Proportional to 317.51, 438.23 and 206.78

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Solution

The fourth proportional to 317.51, 438.23 and 206.78 is: 285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.51 : 438.23 = 206.78 : x
  2. Step 2: Convert to fraction form
    317.51/438.23 = 206.78/x
  3. Step 3: Cross multiply
    317.51x = 438.23 × 206.78
  4. Step 4: Simplify right side
    317.51x = 90,617.26
  5. Step 5: Solve for x
    x = 90,617.26/317.51
  6. Step 6: Final answer
    x = 285.40

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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.