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Finding the Fourth Proportional to 290.48, 434.97 and 284.99

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Solution

The fourth proportional to 290.48, 434.97 and 284.99 is: 426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.48 : 434.97 = 284.99 : x
  2. Step 2: Convert to fraction form
    290.48/434.97 = 284.99/x
  3. Step 3: Cross multiply
    290.48x = 434.97 × 284.99
  4. Step 4: Simplify right side
    290.48x = 123,959.93
  5. Step 5: Solve for x
    x = 123,959.93/290.48
  6. Step 6: Final answer
    x = 426.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.