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Finding the Fourth Proportional to 435.02, 599.81 and 356.04

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Solution

The fourth proportional to 435.02, 599.81 and 356.04 is: 490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.02 : 599.81 = 356.04 : x
  2. Step 2: Convert to fraction form
    435.02/599.81 = 356.04/x
  3. Step 3: Cross multiply
    435.02x = 599.81 × 356.04
  4. Step 4: Simplify right side
    435.02x = 213,554.57
  5. Step 5: Solve for x
    x = 213,554.57/435.02
  6. Step 6: Final answer
    x = 490.91

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Why These Related Problems?

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