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Finding the Fourth Proportional to 373.33, 559.86 and 142.21

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Solution

The fourth proportional to 373.33, 559.86 and 142.21 is: 213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.33 : 559.86 = 142.21 : x
  2. Step 2: Convert to fraction form
    373.33/559.86 = 142.21/x
  3. Step 3: Cross multiply
    373.33x = 559.86 × 142.21
  4. Step 4: Simplify right side
    373.33x = 79,617.69
  5. Step 5: Solve for x
    x = 79,617.69/373.33
  6. Step 6: Final answer
    x = 213.26

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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.