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Finding the Fourth Proportional to 212.84, 292.98 and 191.75

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Solution

The fourth proportional to 212.84, 292.98 and 191.75 is: 263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.84 : 292.98 = 191.75 : x
  2. Step 2: Convert to fraction form
    212.84/292.98 = 191.75/x
  3. Step 3: Cross multiply
    212.84x = 292.98 × 191.75
  4. Step 4: Simplify right side
    212.84x = 56,178.92
  5. Step 5: Solve for x
    x = 56,178.92/212.84
  6. Step 6: Final answer
    x = 263.95

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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.