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Finding the Fourth Proportional to 507.41, 761 and 142.23

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Solution

The fourth proportional to 507.41, 761 and 142.23 is: 213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.41 : 761 = 142.23 : x
  2. Step 2: Convert to fraction form
    507.41/761 = 142.23/x
  3. Step 3: Cross multiply
    507.41x = 761 × 142.23
  4. Step 4: Simplify right side
    507.41x = 108,237.03
  5. Step 5: Solve for x
    x = 108,237.03/507.41
  6. Step 6: Final answer
    x = 213.31

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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.