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Finding the Fourth Proportional to 315.96, 474.09 and 133.35

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Solution

The fourth proportional to 315.96, 474.09 and 133.35 is: 200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 474.09 = 133.35 : x
  2. Step 2: Convert to fraction form
    315.96/474.09 = 133.35/x
  3. Step 3: Cross multiply
    315.96x = 474.09 × 133.35
  4. Step 4: Simplify right side
    315.96x = 63,219.90
  5. Step 5: Solve for x
    x = 63,219.90/315.96
  6. Step 6: Final answer
    x = 200.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.