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Finding the Fourth Proportional to 649.15, 973.25 and 238.17

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Solution

The fourth proportional to 649.15, 973.25 and 238.17 is: 357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.15 : 973.25 = 238.17 : x
  2. Step 2: Convert to fraction form
    649.15/973.25 = 238.17/x
  3. Step 3: Cross multiply
    649.15x = 973.25 × 238.17
  4. Step 4: Simplify right side
    649.15x = 231,802.30
  5. Step 5: Solve for x
    x = 231,802.30/649.15
  6. Step 6: Final answer
    x = 357.09

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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.