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Finding the Fourth Proportional to 373.30, 559.77 and 142.12

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Solution

The fourth proportional to 373.30, 559.77 and 142.12 is: 213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.30 : 559.77 = 142.12 : x
  2. Step 2: Convert to fraction form
    373.30/559.77 = 142.12/x
  3. Step 3: Cross multiply
    373.30x = 559.77 × 142.12
  4. Step 4: Simplify right side
    373.30x = 79,554.51
  5. Step 5: Solve for x
    x = 79,554.51/373.30
  6. Step 6: Final answer
    x = 213.11

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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.