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Finding the Fourth Proportional to 212.91, 317.71 and 191.01

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Solution

The fourth proportional to 212.91, 317.71 and 191.01 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.91 : 317.71 = 191.01 : x
  2. Step 2: Convert to fraction form
    212.91/317.71 = 191.01/x
  3. Step 3: Cross multiply
    212.91x = 317.71 × 191.01
  4. Step 4: Simplify right side
    212.91x = 60,684.36
  5. Step 5: Solve for x
    x = 60,684.36/212.91
  6. Step 6: Final answer
    x = 285.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.