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Finding the Fourth Proportional to 342.18, 515.79 and 324.36

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Solution

The fourth proportional to 342.18, 515.79 and 324.36 is: 488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.18 : 515.79 = 324.36 : x
  2. Step 2: Convert to fraction form
    342.18/515.79 = 324.36/x
  3. Step 3: Cross multiply
    342.18x = 515.79 × 324.36
  4. Step 4: Simplify right side
    342.18x = 167,301.64
  5. Step 5: Solve for x
    x = 167,301.64/342.18
  6. Step 6: Final answer
    x = 488.93

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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.