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Finding the Fourth Proportional to 221.57, 305.59 and 142.89

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Solution

The fourth proportional to 221.57, 305.59 and 142.89 is: 197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.57 : 305.59 = 142.89 : x
  2. Step 2: Convert to fraction form
    221.57/305.59 = 142.89/x
  3. Step 3: Cross multiply
    221.57x = 305.59 × 142.89
  4. Step 4: Simplify right side
    221.57x = 43,666.24
  5. Step 5: Solve for x
    x = 43,666.24/221.57
  6. Step 6: Final answer
    x = 197.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.