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Finding the Fourth Proportional to 290.70, 400.68 and 207.68

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Solution

The fourth proportional to 290.70, 400.68 and 207.68 is: 286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.70 : 400.68 = 207.68 : x
  2. Step 2: Convert to fraction form
    290.70/400.68 = 207.68/x
  3. Step 3: Cross multiply
    290.70x = 400.68 × 207.68
  4. Step 4: Simplify right side
    290.70x = 83,211.22
  5. Step 5: Solve for x
    x = 83,211.22/290.70
  6. Step 6: Final answer
    x = 286.24

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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.