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Finding the Fourth Proportional to 315.55, 435.42 and 189.49

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Solution

The fourth proportional to 315.55, 435.42 and 189.49 is: 261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.55 : 435.42 = 189.49 : x
  2. Step 2: Convert to fraction form
    315.55/435.42 = 189.49/x
  3. Step 3: Cross multiply
    315.55x = 435.42 × 189.49
  4. Step 4: Simplify right side
    315.55x = 82,505.08
  5. Step 5: Solve for x
    x = 82,505.08/315.55
  6. Step 6: Final answer
    x = 261.47

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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.