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Finding the Fourth Proportional to 365.87, 505.07 and 281.15

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Solution

The fourth proportional to 365.87, 505.07 and 281.15 is: 388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.87 : 505.07 = 281.15 : x
  2. Step 2: Convert to fraction form
    365.87/505.07 = 281.15/x
  3. Step 3: Cross multiply
    365.87x = 505.07 × 281.15
  4. Step 4: Simplify right side
    365.87x = 141,996.50
  5. Step 5: Solve for x
    x = 141,996.50/365.87
  6. Step 6: Final answer
    x = 388.11

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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.