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Finding the Fourth Proportional to 292.83, 403.95 and 205.35

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Solution

The fourth proportional to 292.83, 403.95 and 205.35 is: 283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.83 : 403.95 = 205.35 : x
  2. Step 2: Convert to fraction form
    292.83/403.95 = 205.35/x
  3. Step 3: Cross multiply
    292.83x = 403.95 × 205.35
  4. Step 4: Simplify right side
    292.83x = 82,951.13
  5. Step 5: Solve for x
    x = 82,951.13/292.83
  6. Step 6: Final answer
    x = 283.27

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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.