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Finding the Fourth Proportional to 287.25, 430.70 and 189.63

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Solution

The fourth proportional to 287.25, 430.70 and 189.63 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.25 : 430.70 = 189.63 : x
  2. Step 2: Convert to fraction form
    287.25/430.70 = 189.63/x
  3. Step 3: Cross multiply
    287.25x = 430.70 × 189.63
  4. Step 4: Simplify right side
    287.25x = 81,672.69
  5. Step 5: Solve for x
    x = 81,672.69/287.25
  6. Step 6: Final answer
    x = 284.33

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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.