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Finding the Fourth Proportional to 188.93, 284.06 and 165.03

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Solution

The fourth proportional to 188.93, 284.06 and 165.03 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.93 : 284.06 = 165.03 : x
  2. Step 2: Convert to fraction form
    188.93/284.06 = 165.03/x
  3. Step 3: Cross multiply
    188.93x = 284.06 × 165.03
  4. Step 4: Simplify right side
    188.93x = 46,877.60
  5. Step 5: Solve for x
    x = 46,877.60/188.93
  6. Step 6: Final answer
    x = 248.13

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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.