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Finding the Fourth Proportional to 383.17, 524.81 and 360.72

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Solution

The fourth proportional to 383.17, 524.81 and 360.72 is: 494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.17 : 524.81 = 360.72 : x
  2. Step 2: Convert to fraction form
    383.17/524.81 = 360.72/x
  3. Step 3: Cross multiply
    383.17x = 524.81 × 360.72
  4. Step 4: Simplify right side
    383.17x = 189,309.46
  5. Step 5: Solve for x
    x = 189,309.46/383.17
  6. Step 6: Final answer
    x = 494.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.