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Finding the Fourth Proportional to 213.98, 294.77 and 186.17

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Solution

The fourth proportional to 213.98, 294.77 and 186.17 is: 256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.98 : 294.77 = 186.17 : x
  2. Step 2: Convert to fraction form
    213.98/294.77 = 186.17/x
  3. Step 3: Cross multiply
    213.98x = 294.77 × 186.17
  4. Step 4: Simplify right side
    213.98x = 54,876.32
  5. Step 5: Solve for x
    x = 54,876.32/213.98
  6. Step 6: Final answer
    x = 256.46

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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.