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Finding the Fourth Proportional to 472.79, 709.22 and 160.49

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Solution

The fourth proportional to 472.79, 709.22 and 160.49 is: 240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.79 : 709.22 = 160.49 : x
  2. Step 2: Convert to fraction form
    472.79/709.22 = 160.49/x
  3. Step 3: Cross multiply
    472.79x = 709.22 × 160.49
  4. Step 4: Simplify right side
    472.79x = 113,818.37
  5. Step 5: Solve for x
    x = 113,818.37/472.79
  6. Step 6: Final answer
    x = 240.74

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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.