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Finding the Fourth Proportional to 433.93, 598.19 and 309.37

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Solution

The fourth proportional to 433.93, 598.19 and 309.37 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.93 : 598.19 = 309.37 : x
  2. Step 2: Convert to fraction form
    433.93/598.19 = 309.37/x
  3. Step 3: Cross multiply
    433.93x = 598.19 × 309.37
  4. Step 4: Simplify right side
    433.93x = 185,062.59
  5. Step 5: Solve for x
    x = 185,062.59/433.93
  6. Step 6: Final answer
    x = 426.48

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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.