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Finding the Fourth Proportional to 142.83, 215.53 and 137.21

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Solution

The fourth proportional to 142.83, 215.53 and 137.21 is: 207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.83 : 215.53 = 137.21 : x
  2. Step 2: Convert to fraction form
    142.83/215.53 = 137.21/x
  3. Step 3: Cross multiply
    142.83x = 215.53 × 137.21
  4. Step 4: Simplify right side
    142.83x = 29,571.45
  5. Step 5: Solve for x
    x = 29,571.45/142.83
  6. Step 6: Final answer
    x = 207.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.