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Finding the Fourth Proportional to 365.38, 547.36 and 287.93

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Solution

The fourth proportional to 365.38, 547.36 and 287.93 is: 431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.38 : 547.36 = 287.93 : x
  2. Step 2: Convert to fraction form
    365.38/547.36 = 287.93/x
  3. Step 3: Cross multiply
    365.38x = 547.36 × 287.93
  4. Step 4: Simplify right side
    365.38x = 157,601.36
  5. Step 5: Solve for x
    x = 157,601.36/365.38
  6. Step 6: Final answer
    x = 431.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.