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Finding the Fourth Proportional to 317.36, 438.36 and 243.92

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Solution

The fourth proportional to 317.36, 438.36 and 243.92 is: 336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.36 : 438.36 = 243.92 : x
  2. Step 2: Convert to fraction form
    317.36/438.36 = 243.92/x
  3. Step 3: Cross multiply
    317.36x = 438.36 × 243.92
  4. Step 4: Simplify right side
    317.36x = 106,924.77
  5. Step 5: Solve for x
    x = 106,924.77/317.36
  6. Step 6: Final answer
    x = 336.92

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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.