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Finding the Fourth Proportional to 326.69, 488.57 and 290.35

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Solution

The fourth proportional to 326.69, 488.57 and 290.35 is: 434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.69 : 488.57 = 290.35 : x
  2. Step 2: Convert to fraction form
    326.69/488.57 = 290.35/x
  3. Step 3: Cross multiply
    326.69x = 488.57 × 290.35
  4. Step 4: Simplify right side
    326.69x = 141,855.46
  5. Step 5: Solve for x
    x = 141,855.46/326.69
  6. Step 6: Final answer
    x = 434.22

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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.