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Finding the Fourth Proportional to 234, 324.30 and 230.40

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Solution

The fourth proportional to 234, 324.30 and 230.40 is: 319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234 : 324.30 = 230.40 : x
  2. Step 2: Convert to fraction form
    234/324.30 = 230.40/x
  3. Step 3: Cross multiply
    234x = 324.30 × 230.40
  4. Step 4: Simplify right side
    234x = 74,718.72
  5. Step 5: Solve for x
    x = 74,718.72/234
  6. Step 6: Final answer
    x = 319.31

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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.