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Finding the Fourth Proportional to 347.50, 479.57 and 192.25

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Solution

The fourth proportional to 347.50, 479.57 and 192.25 is: 265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.50 : 479.57 = 192.25 : x
  2. Step 2: Convert to fraction form
    347.50/479.57 = 192.25/x
  3. Step 3: Cross multiply
    347.50x = 479.57 × 192.25
  4. Step 4: Simplify right side
    347.50x = 92,196.37
  5. Step 5: Solve for x
    x = 92,196.37/347.50
  6. Step 6: Final answer
    x = 265.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.