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Finding the Fourth Proportional to 223.51, 335.23 and 142.10

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Solution

The fourth proportional to 223.51, 335.23 and 142.10 is: 213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.51 : 335.23 = 142.10 : x
  2. Step 2: Convert to fraction form
    223.51/335.23 = 142.10/x
  3. Step 3: Cross multiply
    223.51x = 335.23 × 142.10
  4. Step 4: Simplify right side
    223.51x = 47,636.18
  5. Step 5: Solve for x
    x = 47,636.18/223.51
  6. Step 6: Final answer
    x = 213.13

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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.