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Finding the Fourth Proportional to 102.87, 154.53 and 89.67

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Solution

The fourth proportional to 102.87, 154.53 and 89.67 is: 134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.87 : 154.53 = 89.67 : x
  2. Step 2: Convert to fraction form
    102.87/154.53 = 89.67/x
  3. Step 3: Cross multiply
    102.87x = 154.53 × 89.67
  4. Step 4: Simplify right side
    102.87x = 13,856.71
  5. Step 5: Solve for x
    x = 13,856.71/102.87
  6. Step 6: Final answer
    x = 134.70

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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.