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Finding the Fourth Proportional to 315.04, 434.55 and 204.39

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Solution

The fourth proportional to 315.04, 434.55 and 204.39 is: 281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.04 : 434.55 = 204.39 : x
  2. Step 2: Convert to fraction form
    315.04/434.55 = 204.39/x
  3. Step 3: Cross multiply
    315.04x = 434.55 × 204.39
  4. Step 4: Simplify right side
    315.04x = 88,817.67
  5. Step 5: Solve for x
    x = 88,817.67/315.04
  6. Step 6: Final answer
    x = 281.93

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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.