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Finding the Fourth Proportional to 261.96, 394.35 and 235.50

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Solution

The fourth proportional to 261.96, 394.35 and 235.50 is: 354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.96 : 394.35 = 235.50 : x
  2. Step 2: Convert to fraction form
    261.96/394.35 = 235.50/x
  3. Step 3: Cross multiply
    261.96x = 394.35 × 235.50
  4. Step 4: Simplify right side
    261.96x = 92,869.43
  5. Step 5: Solve for x
    x = 92,869.43/261.96
  6. Step 6: Final answer
    x = 354.52

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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.