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Finding the Fourth Proportional to 383.40, 528.75 and 252.54

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Solution

The fourth proportional to 383.40, 528.75 and 252.54 is: 348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.40 : 528.75 = 252.54 : x
  2. Step 2: Convert to fraction form
    383.40/528.75 = 252.54/x
  3. Step 3: Cross multiply
    383.40x = 528.75 × 252.54
  4. Step 4: Simplify right side
    383.40x = 133,530.53
  5. Step 5: Solve for x
    x = 133,530.53/383.40
  6. Step 6: Final answer
    x = 348.28

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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.