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Finding the Fourth Proportional to 385.86, 579.18 and 203.20

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Solution

The fourth proportional to 385.86, 579.18 and 203.20 is: 305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.86 : 579.18 = 203.20 : x
  2. Step 2: Convert to fraction form
    385.86/579.18 = 203.20/x
  3. Step 3: Cross multiply
    385.86x = 579.18 × 203.20
  4. Step 4: Simplify right side
    385.86x = 117,689.38
  5. Step 5: Solve for x
    x = 117,689.38/385.86
  6. Step 6: Final answer
    x = 305.01

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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.