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Finding the Fourth Proportional to 211.21, 318.08 and 184.48

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Solution

The fourth proportional to 211.21, 318.08 and 184.48 is: 277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.21 : 318.08 = 184.48 : x
  2. Step 2: Convert to fraction form
    211.21/318.08 = 184.48/x
  3. Step 3: Cross multiply
    211.21x = 318.08 × 184.48
  4. Step 4: Simplify right side
    211.21x = 58,679.40
  5. Step 5: Solve for x
    x = 58,679.40/211.21
  6. Step 6: Final answer
    x = 277.82

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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.