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Finding the Fourth Proportional to 315.64, 435.44 and 205.15

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Solution

The fourth proportional to 315.64, 435.44 and 205.15 is: 283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.64 : 435.44 = 205.15 : x
  2. Step 2: Convert to fraction form
    315.64/435.44 = 205.15/x
  3. Step 3: Cross multiply
    315.64x = 435.44 × 205.15
  4. Step 4: Simplify right side
    315.64x = 89,330.52
  5. Step 5: Solve for x
    x = 89,330.52/315.64
  6. Step 6: Final answer
    x = 283.01

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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.