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Finding the Fourth Proportional to 315.30, 434.99 and 197.21

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Solution

The fourth proportional to 315.30, 434.99 and 197.21 is: 272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.30 : 434.99 = 197.21 : x
  2. Step 2: Convert to fraction form
    315.30/434.99 = 197.21/x
  3. Step 3: Cross multiply
    315.30x = 434.99 × 197.21
  4. Step 4: Simplify right side
    315.30x = 85,785.64
  5. Step 5: Solve for x
    x = 85,785.64/315.30
  6. Step 6: Final answer
    x = 272.08

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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.