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Finding the Fourth Proportional to 357, 492.24 and 240.36

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Solution

The fourth proportional to 357, 492.24 and 240.36 is: 331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357 : 492.24 = 240.36 : x
  2. Step 2: Convert to fraction form
    357/492.24 = 240.36/x
  3. Step 3: Cross multiply
    357x = 492.24 × 240.36
  4. Step 4: Simplify right side
    357x = 118,314.81
  5. Step 5: Solve for x
    x = 118,314.81/357
  6. Step 6: Final answer
    x = 331.41

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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.