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Finding the Fourth Proportional to 142.82, 214.13 and 69.70

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Solution

The fourth proportional to 142.82, 214.13 and 69.70 is: 104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 214.13 = 69.70 : x
  2. Step 2: Convert to fraction form
    142.82/214.13 = 69.70/x
  3. Step 3: Cross multiply
    142.82x = 214.13 × 69.70
  4. Step 4: Simplify right side
    142.82x = 14,924.86
  5. Step 5: Solve for x
    x = 14,924.86/142.82
  6. Step 6: Final answer
    x = 104.50

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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.