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Finding the Fourth Proportional to 365.16, 503.93 and 207.82

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Solution

The fourth proportional to 365.16, 503.93 and 207.82 is: 286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.16 : 503.93 = 207.82 : x
  2. Step 2: Convert to fraction form
    365.16/503.93 = 207.82/x
  3. Step 3: Cross multiply
    365.16x = 503.93 × 207.82
  4. Step 4: Simplify right side
    365.16x = 104,724.73
  5. Step 5: Solve for x
    x = 104,724.73/365.16
  6. Step 6: Final answer
    x = 286.79

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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.