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Finding the Fourth Proportional to 357.11, 492.71 and 215.36

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Solution

The fourth proportional to 357.11, 492.71 and 215.36 is: 297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.11 : 492.71 = 215.36 : x
  2. Step 2: Convert to fraction form
    357.11/492.71 = 215.36/x
  3. Step 3: Cross multiply
    357.11x = 492.71 × 215.36
  4. Step 4: Simplify right side
    357.11x = 106,108.33
  5. Step 5: Solve for x
    x = 106,108.33/357.11
  6. Step 6: Final answer
    x = 297.13

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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.