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Finding the Fourth Proportional to 433.19, 597.84 and 256.30

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Solution

The fourth proportional to 433.19, 597.84 and 256.30 is: 353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.19 : 597.84 = 256.30 : x
  2. Step 2: Convert to fraction form
    433.19/597.84 = 256.30/x
  3. Step 3: Cross multiply
    433.19x = 597.84 × 256.30
  4. Step 4: Simplify right side
    433.19x = 153,223.94
  5. Step 5: Solve for x
    x = 153,223.94/433.19
  6. Step 6: Final answer
    x = 353.71

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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.