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Finding the Fourth Proportional to 317.13, 436.83 and 243.32

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Solution

The fourth proportional to 317.13, 436.83 and 243.32 is: 335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.13 : 436.83 = 243.32 : x
  2. Step 2: Convert to fraction form
    317.13/436.83 = 243.32/x
  3. Step 3: Cross multiply
    317.13x = 436.83 × 243.32
  4. Step 4: Simplify right side
    317.13x = 106,286.38
  5. Step 5: Solve for x
    x = 106,286.38/317.13
  6. Step 6: Final answer
    x = 335.15

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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.