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Finding the Fourth Proportional to 211.36, 315.24 and 182.14

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Solution

The fourth proportional to 211.36, 315.24 and 182.14 is: 271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.36 : 315.24 = 182.14 : x
  2. Step 2: Convert to fraction form
    211.36/315.24 = 182.14/x
  3. Step 3: Cross multiply
    211.36x = 315.24 × 182.14
  4. Step 4: Simplify right side
    211.36x = 57,417.81
  5. Step 5: Solve for x
    x = 57,417.81/211.36
  6. Step 6: Final answer
    x = 271.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.