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Finding the Fourth Proportional to 475.19, 711.41 and 302.06

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Solution

The fourth proportional to 475.19, 711.41 and 302.06 is: 452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.19 : 711.41 = 302.06 : x
  2. Step 2: Convert to fraction form
    475.19/711.41 = 302.06/x
  3. Step 3: Cross multiply
    475.19x = 711.41 × 302.06
  4. Step 4: Simplify right side
    475.19x = 214,883.44
  5. Step 5: Solve for x
    x = 214,883.44/475.19
  6. Step 6: Final answer
    x = 452.21

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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.