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Finding the Fourth Proportional to 315.20, 434.31 and 282.35

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Solution

The fourth proportional to 315.20, 434.31 and 282.35 is: 389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.20 : 434.31 = 282.35 : x
  2. Step 2: Convert to fraction form
    315.20/434.31 = 282.35/x
  3. Step 3: Cross multiply
    315.20x = 434.31 × 282.35
  4. Step 4: Simplify right side
    315.20x = 122,627.43
  5. Step 5: Solve for x
    x = 122,627.43/315.20
  6. Step 6: Final answer
    x = 389.05

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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.