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Finding the Fourth Proportional to 433.23, 597.45 and 275.82

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Solution

The fourth proportional to 433.23, 597.45 and 275.82 is: 380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.23 : 597.45 = 275.82 : x
  2. Step 2: Convert to fraction form
    433.23/597.45 = 275.82/x
  3. Step 3: Cross multiply
    433.23x = 597.45 × 275.82
  4. Step 4: Simplify right side
    433.23x = 164,788.66
  5. Step 5: Solve for x
    x = 164,788.66/433.23
  6. Step 6: Final answer
    x = 380.37

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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.