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Finding the Fourth Proportional to 152.49, 229.83 and 143.67

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Solution

The fourth proportional to 152.49, 229.83 and 143.67 is: 216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.49 : 229.83 = 143.67 : x
  2. Step 2: Convert to fraction form
    152.49/229.83 = 143.67/x
  3. Step 3: Cross multiply
    152.49x = 229.83 × 143.67
  4. Step 4: Simplify right side
    152.49x = 33,019.68
  5. Step 5: Solve for x
    x = 33,019.68/152.49
  6. Step 6: Final answer
    x = 216.54

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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.