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Finding the Fourth Proportional to 506.92, 700.15 and 360.19

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Solution

The fourth proportional to 506.92, 700.15 and 360.19 is: 497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.92 : 700.15 = 360.19 : x
  2. Step 2: Convert to fraction form
    506.92/700.15 = 360.19/x
  3. Step 3: Cross multiply
    506.92x = 700.15 × 360.19
  4. Step 4: Simplify right side
    506.92x = 252,183.53
  5. Step 5: Solve for x
    x = 252,183.53/506.92
  6. Step 6: Final answer
    x = 497.49

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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.