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Finding the Fourth Proportional to 235.56, 322.81 and 212.52

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Solution

The fourth proportional to 235.56, 322.81 and 212.52 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.56 : 322.81 = 212.52 : x
  2. Step 2: Convert to fraction form
    235.56/322.81 = 212.52/x
  3. Step 3: Cross multiply
    235.56x = 322.81 × 212.52
  4. Step 4: Simplify right side
    235.56x = 68,603.58
  5. Step 5: Solve for x
    x = 68,603.58/235.56
  6. Step 6: Final answer
    x = 291.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.