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Finding the Fourth Proportional to 411.50, 566.16 and 356.06

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Solution

The fourth proportional to 411.50, 566.16 and 356.06 is: 489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.50 : 566.16 = 356.06 : x
  2. Step 2: Convert to fraction form
    411.50/566.16 = 356.06/x
  3. Step 3: Cross multiply
    411.50x = 566.16 × 356.06
  4. Step 4: Simplify right side
    411.50x = 201,586.93
  5. Step 5: Solve for x
    x = 201,586.93/411.50
  6. Step 6: Final answer
    x = 489.88

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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.