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Finding the Fourth Proportional to 357.29, 492.81 and 224.39

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Solution

The fourth proportional to 357.29, 492.81 and 224.39 is: 309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.29 : 492.81 = 224.39 : x
  2. Step 2: Convert to fraction form
    357.29/492.81 = 224.39/x
  3. Step 3: Cross multiply
    357.29x = 492.81 × 224.39
  4. Step 4: Simplify right side
    357.29x = 110,579.17
  5. Step 5: Solve for x
    x = 110,579.17/357.29
  6. Step 6: Final answer
    x = 309.49

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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.