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Finding the Fourth Proportional to 211.78, 292.02 and 162.77

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Solution

The fourth proportional to 211.78, 292.02 and 162.77 is: 224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 292.02 = 162.77 : x
  2. Step 2: Convert to fraction form
    211.78/292.02 = 162.77/x
  3. Step 3: Cross multiply
    211.78x = 292.02 × 162.77
  4. Step 4: Simplify right side
    211.78x = 47,532.10
  5. Step 5: Solve for x
    x = 47,532.10/211.78
  6. Step 6: Final answer
    x = 224.45

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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.