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Finding the Fourth Proportional to 365.85, 504.56 and 287.08

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Solution

The fourth proportional to 365.85, 504.56 and 287.08 is: 395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.85 : 504.56 = 287.08 : x
  2. Step 2: Convert to fraction form
    365.85/504.56 = 287.08/x
  3. Step 3: Cross multiply
    365.85x = 504.56 × 287.08
  4. Step 4: Simplify right side
    365.85x = 144,848.54
  5. Step 5: Solve for x
    x = 144,848.54/365.85
  6. Step 6: Final answer
    x = 395.92

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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.