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Finding the Fourth Proportional to 433.20, 598.68 and 355.44

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Solution

The fourth proportional to 433.20, 598.68 and 355.44 is: 491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 598.68 = 355.44 : x
  2. Step 2: Convert to fraction form
    433.20/598.68 = 355.44/x
  3. Step 3: Cross multiply
    433.20x = 598.68 × 355.44
  4. Step 4: Simplify right side
    433.20x = 212,794.82
  5. Step 5: Solve for x
    x = 212,794.82/433.20
  6. Step 6: Final answer
    x = 491.22

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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.