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Finding the Fourth Proportional to 315.58, 435.32 and 205.13

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Solution

The fourth proportional to 315.58, 435.32 and 205.13 is: 282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.58 : 435.32 = 205.13 : x
  2. Step 2: Convert to fraction form
    315.58/435.32 = 205.13/x
  3. Step 3: Cross multiply
    315.58x = 435.32 × 205.13
  4. Step 4: Simplify right side
    315.58x = 89,296.68
  5. Step 5: Solve for x
    x = 89,296.68/315.58
  6. Step 6: Final answer
    x = 282.96

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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.