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Finding the Fourth Proportional to 476.02, 713.71 and 201.97

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Solution

The fourth proportional to 476.02, 713.71 and 201.97 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.02 : 713.71 = 201.97 : x
  2. Step 2: Convert to fraction form
    476.02/713.71 = 201.97/x
  3. Step 3: Cross multiply
    476.02x = 713.71 × 201.97
  4. Step 4: Simplify right side
    476.02x = 144,148.01
  5. Step 5: Solve for x
    x = 144,148.01/476.02
  6. Step 6: Final answer
    x = 302.82

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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.