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Finding the Fourth Proportional to 365.62, 502.82 and 291.82

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Solution

The fourth proportional to 365.62, 502.82 and 291.82 is: 401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.62 : 502.82 = 291.82 : x
  2. Step 2: Convert to fraction form
    365.62/502.82 = 291.82/x
  3. Step 3: Cross multiply
    365.62x = 502.82 × 291.82
  4. Step 4: Simplify right side
    365.62x = 146,732.93
  5. Step 5: Solve for x
    x = 146,732.93/365.62
  6. Step 6: Final answer
    x = 401.33

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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.