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Finding the Fourth Proportional to 382.95, 528.72 and 235.80

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Solution

The fourth proportional to 382.95, 528.72 and 235.80 is: 325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.95 : 528.72 = 235.80 : x
  2. Step 2: Convert to fraction form
    382.95/528.72 = 235.80/x
  3. Step 3: Cross multiply
    382.95x = 528.72 × 235.80
  4. Step 4: Simplify right side
    382.95x = 124,672.18
  5. Step 5: Solve for x
    x = 124,672.18/382.95
  6. Step 6: Final answer
    x = 325.56

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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.