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Finding the Fourth Proportional to 508.06, 701.07 and 286.97

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Solution

The fourth proportional to 508.06, 701.07 and 286.97 is: 395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.06 : 701.07 = 286.97 : x
  2. Step 2: Convert to fraction form
    508.06/701.07 = 286.97/x
  3. Step 3: Cross multiply
    508.06x = 701.07 × 286.97
  4. Step 4: Simplify right side
    508.06x = 201,182.55
  5. Step 5: Solve for x
    x = 201,182.55/508.06
  6. Step 6: Final answer
    x = 395.99

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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.