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Finding the Fourth Proportional to 344.47, 472.16 and 339.67

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Solution

The fourth proportional to 344.47, 472.16 and 339.67 is: 465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.47 : 472.16 = 339.67 : x
  2. Step 2: Convert to fraction form
    344.47/472.16 = 339.67/x
  3. Step 3: Cross multiply
    344.47x = 472.16 × 339.67
  4. Step 4: Simplify right side
    344.47x = 160,378.59
  5. Step 5: Solve for x
    x = 160,378.59/344.47
  6. Step 6: Final answer
    x = 465.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.