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Finding the Fourth Proportional to 188.89, 261.00 and 145.60

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Solution

The fourth proportional to 188.89, 261.00 and 145.60 is: 201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.89 : 261.00 = 145.60 : x
  2. Step 2: Convert to fraction form
    188.89/261.00 = 145.60/x
  3. Step 3: Cross multiply
    188.89x = 261.00 × 145.60
  4. Step 4: Simplify right side
    188.89x = 37,999.57
  5. Step 5: Solve for x
    x = 37,999.57/188.89
  6. Step 6: Final answer
    x = 201.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.