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Finding the Fourth Proportional to 188.48, 282.08 and 142.08

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Solution

The fourth proportional to 188.48, 282.08 and 142.08 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.48 : 282.08 = 142.08 : x
  2. Step 2: Convert to fraction form
    188.48/282.08 = 142.08/x
  3. Step 3: Cross multiply
    188.48x = 282.08 × 142.08
  4. Step 4: Simplify right side
    188.48x = 40,077.93
  5. Step 5: Solve for x
    x = 40,077.93/188.48
  6. Step 6: Final answer
    x = 212.64

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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.