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Finding the Fourth Proportional to 476.01, 713.77 and 201.94

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Solution

The fourth proportional to 476.01, 713.77 and 201.94 is: 302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.01 : 713.77 = 201.94 : x
  2. Step 2: Convert to fraction form
    476.01/713.77 = 201.94/x
  3. Step 3: Cross multiply
    476.01x = 713.77 × 201.94
  4. Step 4: Simplify right side
    476.01x = 144,138.71
  5. Step 5: Solve for x
    x = 144,138.71/476.01
  6. Step 6: Final answer
    x = 302.81

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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.