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Finding the Fourth Proportional to 317.08, 436.89 and 206.38

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Solution

The fourth proportional to 317.08, 436.89 and 206.38 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.08 : 436.89 = 206.38 : x
  2. Step 2: Convert to fraction form
    317.08/436.89 = 206.38/x
  3. Step 3: Cross multiply
    317.08x = 436.89 × 206.38
  4. Step 4: Simplify right side
    317.08x = 90,165.36
  5. Step 5: Solve for x
    x = 90,165.36/317.08
  6. Step 6: Final answer
    x = 284.36

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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.