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Finding the Fourth Proportional to 382.93, 528.75 and 235.60

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Solution

The fourth proportional to 382.93, 528.75 and 235.60 is: 325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.93 : 528.75 = 235.60 : x
  2. Step 2: Convert to fraction form
    382.93/528.75 = 235.60/x
  3. Step 3: Cross multiply
    382.93x = 528.75 × 235.60
  4. Step 4: Simplify right side
    382.93x = 124,573.50
  5. Step 5: Solve for x
    x = 124,573.50/382.93
  6. Step 6: Final answer
    x = 325.32

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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.