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Finding the Fourth Proportional to 142.13, 214.43 and 137.90

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Solution

The fourth proportional to 142.13, 214.43 and 137.90 is: 208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.13 : 214.43 = 137.90 : x
  2. Step 2: Convert to fraction form
    142.13/214.43 = 137.90/x
  3. Step 3: Cross multiply
    142.13x = 214.43 × 137.90
  4. Step 4: Simplify right side
    142.13x = 29,569.90
  5. Step 5: Solve for x
    x = 29,569.90/142.13
  6. Step 6: Final answer
    x = 208.05

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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.