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Finding the Fourth Proportional to 369.78, 509.72 and 281.32

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Solution

The fourth proportional to 369.78, 509.72 and 281.32 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 509.72 = 281.32 : x
  2. Step 2: Convert to fraction form
    369.78/509.72 = 281.32/x
  3. Step 3: Cross multiply
    369.78x = 509.72 × 281.32
  4. Step 4: Simplify right side
    369.78x = 143,394.43
  5. Step 5: Solve for x
    x = 143,394.43/369.78
  6. Step 6: Final answer
    x = 387.78

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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.