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Finding the Fourth Proportional to 234.85, 324.18 and 152.02

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Solution

The fourth proportional to 234.85, 324.18 and 152.02 is: 209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.85 : 324.18 = 152.02 : x
  2. Step 2: Convert to fraction form
    234.85/324.18 = 152.02/x
  3. Step 3: Cross multiply
    234.85x = 324.18 × 152.02
  4. Step 4: Simplify right side
    234.85x = 49,281.96
  5. Step 5: Solve for x
    x = 49,281.96/234.85
  6. Step 6: Final answer
    x = 209.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.