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Finding the Fourth Proportional to 347.94, 481.50 and 301.32

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Solution

The fourth proportional to 347.94, 481.50 and 301.32 is: 416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.94 : 481.50 = 301.32 : x
  2. Step 2: Convert to fraction form
    347.94/481.50 = 301.32/x
  3. Step 3: Cross multiply
    347.94x = 481.50 × 301.32
  4. Step 4: Simplify right side
    347.94x = 145,085.58
  5. Step 5: Solve for x
    x = 145,085.58/347.94
  6. Step 6: Final answer
    x = 416.98

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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.