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Finding the Fourth Proportional to 433.91, 597.93 and 309.35

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Solution

The fourth proportional to 433.91, 597.93 and 309.35 is: 426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.91 : 597.93 = 309.35 : x
  2. Step 2: Convert to fraction form
    433.91/597.93 = 309.35/x
  3. Step 3: Cross multiply
    433.91x = 597.93 × 309.35
  4. Step 4: Simplify right side
    433.91x = 184,969.65
  5. Step 5: Solve for x
    x = 184,969.65/433.91
  6. Step 6: Final answer
    x = 426.29

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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.