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Finding the Fourth Proportional to 506.66, 699.12 and 299.66

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Solution

The fourth proportional to 506.66, 699.12 and 299.66 is: 413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.66 : 699.12 = 299.66 : x
  2. Step 2: Convert to fraction form
    506.66/699.12 = 299.66/x
  3. Step 3: Cross multiply
    506.66x = 699.12 × 299.66
  4. Step 4: Simplify right side
    506.66x = 209,498.30
  5. Step 5: Solve for x
    x = 209,498.30/506.66
  6. Step 6: Final answer
    x = 413.49

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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.