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Finding the Fourth Proportional to 352.40, 486.51 and 247.82

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Solution

The fourth proportional to 352.40, 486.51 and 247.82 is: 342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.40 : 486.51 = 247.82 : x
  2. Step 2: Convert to fraction form
    352.40/486.51 = 247.82/x
  3. Step 3: Cross multiply
    352.40x = 486.51 × 247.82
  4. Step 4: Simplify right side
    352.40x = 120,564.48
  5. Step 5: Solve for x
    x = 120,564.48/352.40
  6. Step 6: Final answer
    x = 342.13

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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.