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Finding the Fourth Proportional to 316.64, 475.05 and 134.06

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Solution

The fourth proportional to 316.64, 475.05 and 134.06 is: 201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.64 : 475.05 = 134.06 : x
  2. Step 2: Convert to fraction form
    316.64/475.05 = 134.06/x
  3. Step 3: Cross multiply
    316.64x = 475.05 × 134.06
  4. Step 4: Simplify right side
    316.64x = 63,682.83
  5. Step 5: Solve for x
    x = 63,682.83/316.64
  6. Step 6: Final answer
    x = 201.12

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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.