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Finding the Fourth Proportional to 290.72, 400.71 and 202.34

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Solution

The fourth proportional to 290.72, 400.71 and 202.34 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.72 : 400.71 = 202.34 : x
  2. Step 2: Convert to fraction form
    290.72/400.71 = 202.34/x
  3. Step 3: Cross multiply
    290.72x = 400.71 × 202.34
  4. Step 4: Simplify right side
    290.72x = 81,077.66
  5. Step 5: Solve for x
    x = 81,077.66/290.72
  6. Step 6: Final answer
    x = 278.89

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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.