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Finding the Fourth Proportional to 385.40, 577.89 and 202.75

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Solution

The fourth proportional to 385.40, 577.89 and 202.75 is: 304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.40 : 577.89 = 202.75 : x
  2. Step 2: Convert to fraction form
    385.40/577.89 = 202.75/x
  3. Step 3: Cross multiply
    385.40x = 577.89 × 202.75
  4. Step 4: Simplify right side
    385.40x = 117,165.75
  5. Step 5: Solve for x
    x = 117,165.75/385.40
  6. Step 6: Final answer
    x = 304.01

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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.