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Finding the Fourth Proportional to 506.09, 759.12 and 246.11

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Solution

The fourth proportional to 506.09, 759.12 and 246.11 is: 369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.09 : 759.12 = 246.11 : x
  2. Step 2: Convert to fraction form
    506.09/759.12 = 246.11/x
  3. Step 3: Cross multiply
    506.09x = 759.12 × 246.11
  4. Step 4: Simplify right side
    506.09x = 186,827.02
  5. Step 5: Solve for x
    x = 186,827.02/506.09
  6. Step 6: Final answer
    x = 369.16

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.