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Finding the Fourth Proportional to 426.33, 640.76 and 290.25

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Solution

The fourth proportional to 426.33, 640.76 and 290.25 is: 436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.33 : 640.76 = 290.25 : x
  2. Step 2: Convert to fraction form
    426.33/640.76 = 290.25/x
  3. Step 3: Cross multiply
    426.33x = 640.76 × 290.25
  4. Step 4: Simplify right side
    426.33x = 185,980.59
  5. Step 5: Solve for x
    x = 185,980.59/426.33
  6. Step 6: Final answer
    x = 436.24

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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.