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Finding the Fourth Proportional to 310.72, 428.44 and 261.52

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Solution

The fourth proportional to 310.72, 428.44 and 261.52 is: 360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.72 : 428.44 = 261.52 : x
  2. Step 2: Convert to fraction form
    310.72/428.44 = 261.52/x
  3. Step 3: Cross multiply
    310.72x = 428.44 × 261.52
  4. Step 4: Simplify right side
    310.72x = 112,045.63
  5. Step 5: Solve for x
    x = 112,045.63/310.72
  6. Step 6: Final answer
    x = 360.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.