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Finding the Fourth Proportional to 420, 630.02 and 159.94

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Solution

The fourth proportional to 420, 630.02 and 159.94 is: 239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 630.02 = 159.94 : x
  2. Step 2: Convert to fraction form
    420/630.02 = 159.94/x
  3. Step 3: Cross multiply
    420x = 630.02 × 159.94
  4. Step 4: Simplify right side
    420x = 100,765.40
  5. Step 5: Solve for x
    x = 100,765.40/420
  6. Step 6: Final answer
    x = 239.92

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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.