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Finding the Fourth Proportional to 473.24, 709.86 and 199.34

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Solution

The fourth proportional to 473.24, 709.86 and 199.34 is: 299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.24 : 709.86 = 199.34 : x
  2. Step 2: Convert to fraction form
    473.24/709.86 = 199.34/x
  3. Step 3: Cross multiply
    473.24x = 709.86 × 199.34
  4. Step 4: Simplify right side
    473.24x = 141,503.49
  5. Step 5: Solve for x
    x = 141,503.49/473.24
  6. Step 6: Final answer
    x = 299.01

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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.