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Finding the Fourth Proportional to 340.72, 472.32 and 322.25

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Solution

The fourth proportional to 340.72, 472.32 and 322.25 is: 446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.72 : 472.32 = 322.25 : x
  2. Step 2: Convert to fraction form
    340.72/472.32 = 322.25/x
  3. Step 3: Cross multiply
    340.72x = 472.32 × 322.25
  4. Step 4: Simplify right side
    340.72x = 152,202.76
  5. Step 5: Solve for x
    x = 152,202.76/340.72
  6. Step 6: Final answer
    x = 446.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.