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Finding the Fourth Proportional to 142.90, 214.37 and 51.66

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Solution

The fourth proportional to 142.90, 214.37 and 51.66 is: 77.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.90 : 214.37 = 51.66 : x
  2. Step 2: Convert to fraction form
    142.90/214.37 = 51.66/x
  3. Step 3: Cross multiply
    142.90x = 214.37 × 51.66
  4. Step 4: Simplify right side
    142.90x = 11,073.68
  5. Step 5: Solve for x
    x = 11,073.68/142.90
  6. Step 6: Final answer
    x = 77.50

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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.