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Finding the Fourth Proportional to 475.91, 713.69 and 202.02

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Solution

The fourth proportional to 475.91, 713.69 and 202.02 is: 302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.91 : 713.69 = 202.02 : x
  2. Step 2: Convert to fraction form
    475.91/713.69 = 202.02/x
  3. Step 3: Cross multiply
    475.91x = 713.69 × 202.02
  4. Step 4: Simplify right side
    475.91x = 144,179.65
  5. Step 5: Solve for x
    x = 144,179.65/475.91
  6. Step 6: Final answer
    x = 302.96

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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.