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Finding the Fourth Proportional to 194.48, 291.28 and 188.16

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Solution

The fourth proportional to 194.48, 291.28 and 188.16 is: 281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.48 : 291.28 = 188.16 : x
  2. Step 2: Convert to fraction form
    194.48/291.28 = 188.16/x
  3. Step 3: Cross multiply
    194.48x = 291.28 × 188.16
  4. Step 4: Simplify right side
    194.48x = 54,807.24
  5. Step 5: Solve for x
    x = 54,807.24/194.48
  6. Step 6: Final answer
    x = 281.81

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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.