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Finding the Fourth Proportional to 433.30, 597.38 and 345.08

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Solution

The fourth proportional to 433.30, 597.38 and 345.08 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.30 : 597.38 = 345.08 : x
  2. Step 2: Convert to fraction form
    433.30/597.38 = 345.08/x
  3. Step 3: Cross multiply
    433.30x = 597.38 × 345.08
  4. Step 4: Simplify right side
    433.30x = 206,143.89
  5. Step 5: Solve for x
    x = 206,143.89/433.30
  6. Step 6: Final answer
    x = 475.75

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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.