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Finding the Fourth Proportional to 139.11, 208.63 and 42.90

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Solution

The fourth proportional to 139.11, 208.63 and 42.90 is: 64.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.11 : 208.63 = 42.90 : x
  2. Step 2: Convert to fraction form
    139.11/208.63 = 42.90/x
  3. Step 3: Cross multiply
    139.11x = 208.63 × 42.90
  4. Step 4: Simplify right side
    139.11x = 8,950.23
  5. Step 5: Solve for x
    x = 8,950.23/139.11
  6. Step 6: Final answer
    x = 64.34

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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.