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Finding the Fourth Proportional to 188.55, 283.10 and 170.73

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Solution

The fourth proportional to 188.55, 283.10 and 170.73 is: 256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.55 : 283.10 = 170.73 : x
  2. Step 2: Convert to fraction form
    188.55/283.10 = 170.73/x
  3. Step 3: Cross multiply
    188.55x = 283.10 × 170.73
  4. Step 4: Simplify right side
    188.55x = 48,332.81
  5. Step 5: Solve for x
    x = 48,332.81/188.55
  6. Step 6: Final answer
    x = 256.34

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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.