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Finding the Fourth Proportional to 152.50, 229.57 and 132.64

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Solution

The fourth proportional to 152.50, 229.57 and 132.64 is: 199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.50 : 229.57 = 132.64 : x
  2. Step 2: Convert to fraction form
    152.50/229.57 = 132.64/x
  3. Step 3: Cross multiply
    152.50x = 229.57 × 132.64
  4. Step 4: Simplify right side
    152.50x = 30,450.16
  5. Step 5: Solve for x
    x = 30,450.16/152.50
  6. Step 6: Final answer
    x = 199.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.