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Finding the Fourth Proportional to 290.77, 434.21 and 254.32

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Solution

The fourth proportional to 290.77, 434.21 and 254.32 is: 379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.77 : 434.21 = 254.32 : x
  2. Step 2: Convert to fraction form
    290.77/434.21 = 254.32/x
  3. Step 3: Cross multiply
    290.77x = 434.21 × 254.32
  4. Step 4: Simplify right side
    290.77x = 110,425.93
  5. Step 5: Solve for x
    x = 110,425.93/290.77
  6. Step 6: Final answer
    x = 379.77

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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.