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Finding the Fourth Proportional to 383.92, 532.45 and 360.16

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Solution

The fourth proportional to 383.92, 532.45 and 360.16 is: 499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.92 : 532.45 = 360.16 : x
  2. Step 2: Convert to fraction form
    383.92/532.45 = 360.16/x
  3. Step 3: Cross multiply
    383.92x = 532.45 × 360.16
  4. Step 4: Simplify right side
    383.92x = 191,767.19
  5. Step 5: Solve for x
    x = 191,767.19/383.92
  6. Step 6: Final answer
    x = 499.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.