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Finding the Fourth Proportional to 287.87, 431.93 and 139.77

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Solution

The fourth proportional to 287.87, 431.93 and 139.77 is: 209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.87 : 431.93 = 139.77 : x
  2. Step 2: Convert to fraction form
    287.87/431.93 = 139.77/x
  3. Step 3: Cross multiply
    287.87x = 431.93 × 139.77
  4. Step 4: Simplify right side
    287.87x = 60,371.21
  5. Step 5: Solve for x
    x = 60,371.21/287.87
  6. Step 6: Final answer
    x = 209.72

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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.