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Finding the Fourth Proportional to 367.74, 506.65 and 284.56

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Solution

The fourth proportional to 367.74, 506.65 and 284.56 is: 392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 506.65 = 284.56 : x
  2. Step 2: Convert to fraction form
    367.74/506.65 = 284.56/x
  3. Step 3: Cross multiply
    367.74x = 506.65 × 284.56
  4. Step 4: Simplify right side
    367.74x = 144,172.32
  5. Step 5: Solve for x
    x = 144,172.32/367.74
  6. Step 6: Final answer
    x = 392.05

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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.