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Finding the Fourth Proportional to 416.53, 576.29 and 354.16

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Solution

The fourth proportional to 416.53, 576.29 and 354.16 is: 489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 576.29 = 354.16 : x
  2. Step 2: Convert to fraction form
    416.53/576.29 = 354.16/x
  3. Step 3: Cross multiply
    416.53x = 576.29 × 354.16
  4. Step 4: Simplify right side
    416.53x = 204,094.21
  5. Step 5: Solve for x
    x = 204,094.21/416.53
  6. Step 6: Final answer
    x = 489.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.