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Finding the Fourth Proportional to 263.44, 362.94 and 208.16

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Solution

The fourth proportional to 263.44, 362.94 and 208.16 is: 286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.44 : 362.94 = 208.16 : x
  2. Step 2: Convert to fraction form
    263.44/362.94 = 208.16/x
  3. Step 3: Cross multiply
    263.44x = 362.94 × 208.16
  4. Step 4: Simplify right side
    263.44x = 75,547.78
  5. Step 5: Solve for x
    x = 75,547.78/263.44
  6. Step 6: Final answer
    x = 286.77

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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.