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Finding the Fourth Proportional to 433.60, 598.37 and 256.56

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Solution

The fourth proportional to 433.60, 598.37 and 256.56 is: 354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 598.37 = 256.56 : x
  2. Step 2: Convert to fraction form
    433.60/598.37 = 256.56/x
  3. Step 3: Cross multiply
    433.60x = 598.37 × 256.56
  4. Step 4: Simplify right side
    433.60x = 153,517.81
  5. Step 5: Solve for x
    x = 153,517.81/433.60
  6. Step 6: Final answer
    x = 354.05

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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.