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Finding the Fourth Proportional to 153.29, 213.03 and 151.67

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Solution

The fourth proportional to 153.29, 213.03 and 151.67 is: 210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.29 : 213.03 = 151.67 : x
  2. Step 2: Convert to fraction form
    153.29/213.03 = 151.67/x
  3. Step 3: Cross multiply
    153.29x = 213.03 × 151.67
  4. Step 4: Simplify right side
    153.29x = 32,309.19
  5. Step 5: Solve for x
    x = 32,309.19/153.29
  6. Step 6: Final answer
    x = 210.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.