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Finding the Fourth Proportional to 315.98, 474.12 and 133.34

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Solution

The fourth proportional to 315.98, 474.12 and 133.34 is: 200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.98 : 474.12 = 133.34 : x
  2. Step 2: Convert to fraction form
    315.98/474.12 = 133.34/x
  3. Step 3: Cross multiply
    315.98x = 474.12 × 133.34
  4. Step 4: Simplify right side
    315.98x = 63,219.16
  5. Step 5: Solve for x
    x = 63,219.16/315.98
  6. Step 6: Final answer
    x = 200.07

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