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Finding the Fourth Proportional to 305.85, 424.07 and 290.28

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Solution

The fourth proportional to 305.85, 424.07 and 290.28 is: 402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.85 : 424.07 = 290.28 : x
  2. Step 2: Convert to fraction form
    305.85/424.07 = 290.28/x
  3. Step 3: Cross multiply
    305.85x = 424.07 × 290.28
  4. Step 4: Simplify right side
    305.85x = 123,097.59
  5. Step 5: Solve for x
    x = 123,097.59/305.85
  6. Step 6: Final answer
    x = 402.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.