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Finding the Fourth Proportional to 263.82, 364.10 and 151.81

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Solution

The fourth proportional to 263.82, 364.10 and 151.81 is: 209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.82 : 364.10 = 151.81 : x
  2. Step 2: Convert to fraction form
    263.82/364.10 = 151.81/x
  3. Step 3: Cross multiply
    263.82x = 364.10 × 151.81
  4. Step 4: Simplify right side
    263.82x = 55,274.02
  5. Step 5: Solve for x
    x = 55,274.02/263.82
  6. Step 6: Final answer
    x = 209.51

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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.