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Finding the Fourth Proportional to 211.12, 315.16 and 195.68

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Solution

The fourth proportional to 211.12, 315.16 and 195.68 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.12 : 315.16 = 195.68 : x
  2. Step 2: Convert to fraction form
    211.12/315.16 = 195.68/x
  3. Step 3: Cross multiply
    211.12x = 315.16 × 195.68
  4. Step 4: Simplify right side
    211.12x = 61,670.51
  5. Step 5: Solve for x
    x = 61,670.51/211.12
  6. Step 6: Final answer
    x = 292.11

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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.