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Finding the Fourth Proportional to 433.80, 597.76 and 356.04

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Solution

The fourth proportional to 433.80, 597.76 and 356.04 is: 490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.80 : 597.76 = 356.04 : x
  2. Step 2: Convert to fraction form
    433.80/597.76 = 356.04/x
  3. Step 3: Cross multiply
    433.80x = 597.76 × 356.04
  4. Step 4: Simplify right side
    433.80x = 212,826.47
  5. Step 5: Solve for x
    x = 212,826.47/433.80
  6. Step 6: Final answer
    x = 490.61

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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.