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Finding the Fourth Proportional to 142.08, 212.16 and 139.52

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Solution

The fourth proportional to 142.08, 212.16 and 139.52 is: 208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.08 : 212.16 = 139.52 : x
  2. Step 2: Convert to fraction form
    142.08/212.16 = 139.52/x
  3. Step 3: Cross multiply
    142.08x = 212.16 × 139.52
  4. Step 4: Simplify right side
    142.08x = 29,600.56
  5. Step 5: Solve for x
    x = 29,600.56/142.08
  6. Step 6: Final answer
    x = 208.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.