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Finding the Fourth Proportional to 385.11, 577.74 and 190.13

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Solution

The fourth proportional to 385.11, 577.74 and 190.13 is: 285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.11 : 577.74 = 190.13 : x
  2. Step 2: Convert to fraction form
    385.11/577.74 = 190.13/x
  3. Step 3: Cross multiply
    385.11x = 577.74 × 190.13
  4. Step 4: Simplify right side
    385.11x = 109,845.71
  5. Step 5: Solve for x
    x = 109,845.71/385.11
  6. Step 6: Final answer
    x = 285.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.