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Finding the Fourth Proportional to 385.22, 531.46 and 235.76

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Solution

The fourth proportional to 385.22, 531.46 and 235.76 is: 325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.22 : 531.46 = 235.76 : x
  2. Step 2: Convert to fraction form
    385.22/531.46 = 235.76/x
  3. Step 3: Cross multiply
    385.22x = 531.46 × 235.76
  4. Step 4: Simplify right side
    385.22x = 125,297.01
  5. Step 5: Solve for x
    x = 125,297.01/385.22
  6. Step 6: Final answer
    x = 325.26

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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.