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Finding the Fourth Proportional to 383.11, 577.49 and 360.81

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Solution

The fourth proportional to 383.11, 577.49 and 360.81 is: 543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.11 : 577.49 = 360.81 : x
  2. Step 2: Convert to fraction form
    383.11/577.49 = 360.81/x
  3. Step 3: Cross multiply
    383.11x = 577.49 × 360.81
  4. Step 4: Simplify right side
    383.11x = 208,364.17
  5. Step 5: Solve for x
    x = 208,364.17/383.11
  6. Step 6: Final answer
    x = 543.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.