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Finding the Fourth Proportional to 385.20, 577.40 and 202.24

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Solution

The fourth proportional to 385.20, 577.40 and 202.24 is: 303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 577.40 = 202.24 : x
  2. Step 2: Convert to fraction form
    385.20/577.40 = 202.24/x
  3. Step 3: Cross multiply
    385.20x = 577.40 × 202.24
  4. Step 4: Simplify right side
    385.20x = 116,773.38
  5. Step 5: Solve for x
    x = 116,773.38/385.20
  6. Step 6: Final answer
    x = 303.15

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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.