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Finding the Fourth Proportional to 325.38, 491.62 and 322.50

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Solution

The fourth proportional to 325.38, 491.62 and 322.50 is: 487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.38 : 491.62 = 322.50 : x
  2. Step 2: Convert to fraction form
    325.38/491.62 = 322.50/x
  3. Step 3: Cross multiply
    325.38x = 491.62 × 322.50
  4. Step 4: Simplify right side
    325.38x = 158,545.84
  5. Step 5: Solve for x
    x = 158,545.84/325.38
  6. Step 6: Final answer
    x = 487.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.