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Finding the Fourth Proportional to 211.93, 316.98 and 192.53

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Solution

The fourth proportional to 211.93, 316.98 and 192.53 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.93 : 316.98 = 192.53 : x
  2. Step 2: Convert to fraction form
    211.93/316.98 = 192.53/x
  3. Step 3: Cross multiply
    211.93x = 316.98 × 192.53
  4. Step 4: Simplify right side
    211.93x = 61,028.16
  5. Step 5: Solve for x
    x = 61,028.16/211.93
  6. Step 6: Final answer
    x = 287.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.