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Finding the Fourth Proportional to 210.90, 292.37 and 199.94

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Solution

The fourth proportional to 210.90, 292.37 and 199.94 is: 277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.90 : 292.37 = 199.94 : x
  2. Step 2: Convert to fraction form
    210.90/292.37 = 199.94/x
  3. Step 3: Cross multiply
    210.90x = 292.37 × 199.94
  4. Step 4: Simplify right side
    210.90x = 58,455.46
  5. Step 5: Solve for x
    x = 58,455.46/210.90
  6. Step 6: Final answer
    x = 277.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.