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Finding the Fourth Proportional to 287.94, 431.50 and 157.83

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Solution

The fourth proportional to 287.94, 431.50 and 157.83 is: 236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.94 : 431.50 = 157.83 : x
  2. Step 2: Convert to fraction form
    287.94/431.50 = 157.83/x
  3. Step 3: Cross multiply
    287.94x = 431.50 × 157.83
  4. Step 4: Simplify right side
    287.94x = 68,103.65
  5. Step 5: Solve for x
    x = 68,103.65/287.94
  6. Step 6: Final answer
    x = 236.52

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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.