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Finding the Fourth Proportional to 367.18, 506.90 and 284.10

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Solution

The fourth proportional to 367.18, 506.90 and 284.10 is: 392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.18 : 506.90 = 284.10 : x
  2. Step 2: Convert to fraction form
    367.18/506.90 = 284.10/x
  3. Step 3: Cross multiply
    367.18x = 506.90 × 284.10
  4. Step 4: Simplify right side
    367.18x = 144,010.29
  5. Step 5: Solve for x
    x = 144,010.29/367.18
  6. Step 6: Final answer
    x = 392.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.