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Finding the Fourth Proportional to 211.77, 319.30 and 193.77

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Solution

The fourth proportional to 211.77, 319.30 and 193.77 is: 292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.77 : 319.30 = 193.77 : x
  2. Step 2: Convert to fraction form
    211.77/319.30 = 193.77/x
  3. Step 3: Cross multiply
    211.77x = 319.30 × 193.77
  4. Step 4: Simplify right side
    211.77x = 61,870.28
  5. Step 5: Solve for x
    x = 61,870.28/211.77
  6. Step 6: Final answer
    x = 292.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.