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Finding the Fourth Proportional to 365.73, 546.15 and 287.82

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Solution

The fourth proportional to 365.73, 546.15 and 287.82 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.73 : 546.15 = 287.82 : x
  2. Step 2: Convert to fraction form
    365.73/546.15 = 287.82/x
  3. Step 3: Cross multiply
    365.73x = 546.15 × 287.82
  4. Step 4: Simplify right side
    365.73x = 157,192.89
  5. Step 5: Solve for x
    x = 157,192.89/365.73
  6. Step 6: Final answer
    x = 429.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.