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Finding the Fourth Proportional to 216.26, 322.67 and 203.13

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Solution

The fourth proportional to 216.26, 322.67 and 203.13 is: 303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.26 : 322.67 = 203.13 : x
  2. Step 2: Convert to fraction form
    216.26/322.67 = 203.13/x
  3. Step 3: Cross multiply
    216.26x = 322.67 × 203.13
  4. Step 4: Simplify right side
    216.26x = 65,542.34
  5. Step 5: Solve for x
    x = 65,542.34/216.26
  6. Step 6: Final answer
    x = 303.08

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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.