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Finding the Fourth Proportional to 290.79, 400.95 and 282.29

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Solution

The fourth proportional to 290.79, 400.95 and 282.29 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.79 : 400.95 = 282.29 : x
  2. Step 2: Convert to fraction form
    290.79/400.95 = 282.29/x
  3. Step 3: Cross multiply
    290.79x = 400.95 × 282.29
  4. Step 4: Simplify right side
    290.79x = 113,182.17
  5. Step 5: Solve for x
    x = 113,182.17/290.79
  6. Step 6: Final answer
    x = 389.22

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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.