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Finding the Fourth Proportional to 285.82, 430.40 and 205.22

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Solution

The fourth proportional to 285.82, 430.40 and 205.22 is: 309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.82 : 430.40 = 205.22 : x
  2. Step 2: Convert to fraction form
    285.82/430.40 = 205.22/x
  3. Step 3: Cross multiply
    285.82x = 430.40 × 205.22
  4. Step 4: Simplify right side
    285.82x = 88,328.28
  5. Step 5: Solve for x
    x = 88,328.28/285.82
  6. Step 6: Final answer
    x = 309.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.