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Finding the Fourth Proportional to 211.47, 291.83 and 118.23

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Solution

The fourth proportional to 211.47, 291.83 and 118.23 is: 163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.47 : 291.83 = 118.23 : x
  2. Step 2: Convert to fraction form
    211.47/291.83 = 118.23/x
  3. Step 3: Cross multiply
    211.47x = 291.83 × 118.23
  4. Step 4: Simplify right side
    211.47x = 34,501.60
  5. Step 5: Solve for x
    x = 34,501.60/211.47
  6. Step 6: Final answer
    x = 163.15

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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.