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Finding the Fourth Proportional to 506.70, 699.30 and 282.66

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Solution

The fourth proportional to 506.70, 699.30 and 282.66 is: 390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.70 : 699.30 = 282.66 : x
  2. Step 2: Convert to fraction form
    506.70/699.30 = 282.66/x
  3. Step 3: Cross multiply
    506.70x = 699.30 × 282.66
  4. Step 4: Simplify right side
    506.70x = 197,664.14
  5. Step 5: Solve for x
    x = 197,664.14/506.70
  6. Step 6: Final answer
    x = 390.10

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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.