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Finding the Fourth Proportional to 316.84, 475.44 and 154.72

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Solution

The fourth proportional to 316.84, 475.44 and 154.72 is: 232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.84 : 475.44 = 154.72 : x
  2. Step 2: Convert to fraction form
    316.84/475.44 = 154.72/x
  3. Step 3: Cross multiply
    316.84x = 475.44 × 154.72
  4. Step 4: Simplify right side
    316.84x = 73,560.08
  5. Step 5: Solve for x
    x = 73,560.08/316.84
  6. Step 6: Final answer
    x = 232.17

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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.