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Finding the Fourth Proportional to 385.96, 529.06 and 380.77

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Solution

The fourth proportional to 385.96, 529.06 and 380.77 is: 521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.96 : 529.06 = 380.77 : x
  2. Step 2: Convert to fraction form
    385.96/529.06 = 380.77/x
  3. Step 3: Cross multiply
    385.96x = 529.06 × 380.77
  4. Step 4: Simplify right side
    385.96x = 201,448.27
  5. Step 5: Solve for x
    x = 201,448.27/385.96
  6. Step 6: Final answer
    x = 521.94

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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.