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Finding the Fourth Proportional to 189.76, 283.01 and 174.04

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Solution

The fourth proportional to 189.76, 283.01 and 174.04 is: 259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.76 : 283.01 = 174.04 : x
  2. Step 2: Convert to fraction form
    189.76/283.01 = 174.04/x
  3. Step 3: Cross multiply
    189.76x = 283.01 × 174.04
  4. Step 4: Simplify right side
    189.76x = 49,255.06
  5. Step 5: Solve for x
    x = 49,255.06/189.76
  6. Step 6: Final answer
    x = 259.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.