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Finding the Fourth Proportional to 166.64, 230.40 and 147.20

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Solution

The fourth proportional to 166.64, 230.40 and 147.20 is: 203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.64 : 230.40 = 147.20 : x
  2. Step 2: Convert to fraction form
    166.64/230.40 = 147.20/x
  3. Step 3: Cross multiply
    166.64x = 230.40 × 147.20
  4. Step 4: Simplify right side
    166.64x = 33,914.88
  5. Step 5: Solve for x
    x = 33,914.88/166.64
  6. Step 6: Final answer
    x = 203.52

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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.