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Finding the Fourth Proportional to 188.52, 283.90 and 164.76

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Solution

The fourth proportional to 188.52, 283.90 and 164.76 is: 248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.52 : 283.90 = 164.76 : x
  2. Step 2: Convert to fraction form
    188.52/283.90 = 164.76/x
  3. Step 3: Cross multiply
    188.52x = 283.90 × 164.76
  4. Step 4: Simplify right side
    188.52x = 46,775.36
  5. Step 5: Solve for x
    x = 46,775.36/188.52
  6. Step 6: Final answer
    x = 248.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.