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Finding the Fourth Proportional to 433.35, 598.11 and 300.48

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Solution

The fourth proportional to 433.35, 598.11 and 300.48 is: 414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.35 : 598.11 = 300.48 : x
  2. Step 2: Convert to fraction form
    433.35/598.11 = 300.48/x
  3. Step 3: Cross multiply
    433.35x = 598.11 × 300.48
  4. Step 4: Simplify right side
    433.35x = 179,720.09
  5. Step 5: Solve for x
    x = 179,720.09/433.35
  6. Step 6: Final answer
    x = 414.72

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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.