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Finding the Fourth Proportional to 287.69, 431.19 and 125.19

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Solution

The fourth proportional to 287.69, 431.19 and 125.19 is: 187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.69 : 431.19 = 125.19 : x
  2. Step 2: Convert to fraction form
    287.69/431.19 = 125.19/x
  3. Step 3: Cross multiply
    287.69x = 431.19 × 125.19
  4. Step 4: Simplify right side
    287.69x = 53,980.68
  5. Step 5: Solve for x
    x = 53,980.68/287.69
  6. Step 6: Final answer
    x = 187.64

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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.