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Finding the Fourth Proportional to 435.85, 654.01 and 230.45

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Solution

The fourth proportional to 435.85, 654.01 and 230.45 is: 345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.85 : 654.01 = 230.45 : x
  2. Step 2: Convert to fraction form
    435.85/654.01 = 230.45/x
  3. Step 3: Cross multiply
    435.85x = 654.01 × 230.45
  4. Step 4: Simplify right side
    435.85x = 150,712.76
  5. Step 5: Solve for x
    x = 150,712.76/435.85
  6. Step 6: Final answer
    x = 345.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.