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Finding the Fourth Proportional to 235.51, 324.21 and 202.57

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Solution

The fourth proportional to 235.51, 324.21 and 202.57 is: 278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.51 : 324.21 = 202.57 : x
  2. Step 2: Convert to fraction form
    235.51/324.21 = 202.57/x
  3. Step 3: Cross multiply
    235.51x = 324.21 × 202.57
  4. Step 4: Simplify right side
    235.51x = 65,675.22
  5. Step 5: Solve for x
    x = 65,675.22/235.51
  6. Step 6: Final answer
    x = 278.86

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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.