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Finding the Fourth Proportional to 475.17, 712.29 and 201.45

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Solution

The fourth proportional to 475.17, 712.29 and 201.45 is: 301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.17 : 712.29 = 201.45 : x
  2. Step 2: Convert to fraction form
    475.17/712.29 = 201.45/x
  3. Step 3: Cross multiply
    475.17x = 712.29 × 201.45
  4. Step 4: Simplify right side
    475.17x = 143,490.82
  5. Step 5: Solve for x
    x = 143,490.82/475.17
  6. Step 6: Final answer
    x = 301.98

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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.