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Finding the Fourth Proportional to 383.28, 528.66 and 288.72

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Solution

The fourth proportional to 383.28, 528.66 and 288.72 is: 398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.28 : 528.66 = 288.72 : x
  2. Step 2: Convert to fraction form
    383.28/528.66 = 288.72/x
  3. Step 3: Cross multiply
    383.28x = 528.66 × 288.72
  4. Step 4: Simplify right side
    383.28x = 152,634.72
  5. Step 5: Solve for x
    x = 152,634.72/383.28
  6. Step 6: Final answer
    x = 398.23

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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.