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Finding the Fourth Proportional to 188.47, 282.00 and 127.30

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Solution

The fourth proportional to 188.47, 282.00 and 127.30 is: 190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.47 : 282.00 = 127.30 : x
  2. Step 2: Convert to fraction form
    188.47/282.00 = 127.30/x
  3. Step 3: Cross multiply
    188.47x = 282.00 × 127.30
  4. Step 4: Simplify right side
    188.47x = 35,898.71
  5. Step 5: Solve for x
    x = 35,898.71/188.47
  6. Step 6: Final answer
    x = 190.47

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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.