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Finding the Fourth Proportional to 290.55, 400.95 and 159.55

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Solution

The fourth proportional to 290.55, 400.95 and 159.55 is: 220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.55 : 400.95 = 159.55 : x
  2. Step 2: Convert to fraction form
    290.55/400.95 = 159.55/x
  3. Step 3: Cross multiply
    290.55x = 400.95 × 159.55
  4. Step 4: Simplify right side
    290.55x = 63,969.57
  5. Step 5: Solve for x
    x = 63,969.57/290.55
  6. Step 6: Final answer
    x = 220.17

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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.