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Finding the Fourth Proportional to 287.81, 431.74 and 92.82

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Solution

The fourth proportional to 287.81, 431.74 and 92.82 is: 139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.81 : 431.74 = 92.82 : x
  2. Step 2: Convert to fraction form
    287.81/431.74 = 92.82/x
  3. Step 3: Cross multiply
    287.81x = 431.74 × 92.82
  4. Step 4: Simplify right side
    287.81x = 40,074.11
  5. Step 5: Solve for x
    x = 40,074.11/287.81
  6. Step 6: Final answer
    x = 139.24

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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.