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Finding the Fourth Proportional to 214.53, 322.20 and 128.13

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Solution

The fourth proportional to 214.53, 322.20 and 128.13 is: 192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.53 : 322.20 = 128.13 : x
  2. Step 2: Convert to fraction form
    214.53/322.20 = 128.13/x
  3. Step 3: Cross multiply
    214.53x = 322.20 × 128.13
  4. Step 4: Simplify right side
    214.53x = 41,283.49
  5. Step 5: Solve for x
    x = 41,283.49/214.53
  6. Step 6: Final answer
    x = 192.44

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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.