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Finding the Fourth Proportional to 216.17, 322.14 and 203.19

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Solution

The fourth proportional to 216.17, 322.14 and 203.19 is: 302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.17 : 322.14 = 203.19 : x
  2. Step 2: Convert to fraction form
    216.17/322.14 = 203.19/x
  3. Step 3: Cross multiply
    216.17x = 322.14 × 203.19
  4. Step 4: Simplify right side
    216.17x = 65,456.99
  5. Step 5: Solve for x
    x = 65,456.99/216.17
  6. Step 6: Final answer
    x = 302.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.