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Finding the Fourth Proportional to 435.50, 601.01 and 239.01

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Solution

The fourth proportional to 435.50, 601.01 and 239.01 is: 329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.50 : 601.01 = 239.01 : x
  2. Step 2: Convert to fraction form
    435.50/601.01 = 239.01/x
  3. Step 3: Cross multiply
    435.50x = 601.01 × 239.01
  4. Step 4: Simplify right side
    435.50x = 143,646.21
  5. Step 5: Solve for x
    x = 143,646.21/435.50
  6. Step 6: Final answer
    x = 329.85

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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.