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Finding the Fourth Proportional to 189.17, 283.64 and 102.53

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Solution

The fourth proportional to 189.17, 283.64 and 102.53 is: 153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.17 : 283.64 = 102.53 : x
  2. Step 2: Convert to fraction form
    189.17/283.64 = 102.53/x
  3. Step 3: Cross multiply
    189.17x = 283.64 × 102.53
  4. Step 4: Simplify right side
    189.17x = 29,081.81
  5. Step 5: Solve for x
    x = 29,081.81/189.17
  6. Step 6: Final answer
    x = 153.73

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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.