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Finding the Fourth Proportional to 139.17, 208.45 and 57.77

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Solution

The fourth proportional to 139.17, 208.45 and 57.77 is: 86.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.17 : 208.45 = 57.77 : x
  2. Step 2: Convert to fraction form
    139.17/208.45 = 57.77/x
  3. Step 3: Cross multiply
    139.17x = 208.45 × 57.77
  4. Step 4: Simplify right side
    139.17x = 12,040.97
  5. Step 5: Solve for x
    x = 12,040.97/139.17
  6. Step 6: Final answer
    x = 86.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.