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Finding the Fourth Proportional to 303.05, 417.71 and 204.77

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Solution

The fourth proportional to 303.05, 417.71 and 204.77 is: 282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.05 : 417.71 = 204.77 : x
  2. Step 2: Convert to fraction form
    303.05/417.71 = 204.77/x
  3. Step 3: Cross multiply
    303.05x = 417.71 × 204.77
  4. Step 4: Simplify right side
    303.05x = 85,532.90
  5. Step 5: Solve for x
    x = 85,532.90/303.05
  6. Step 6: Final answer
    x = 282.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.