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Finding the Fourth Proportional to 290.76, 434.01 and 252.51

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Solution

The fourth proportional to 290.76, 434.01 and 252.51 is: 376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.76 : 434.01 = 252.51 : x
  2. Step 2: Convert to fraction form
    290.76/434.01 = 252.51/x
  3. Step 3: Cross multiply
    290.76x = 434.01 × 252.51
  4. Step 4: Simplify right side
    290.76x = 109,591.87
  5. Step 5: Solve for x
    x = 109,591.87/290.76
  6. Step 6: Final answer
    x = 376.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.