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Finding the Fourth Proportional to 347.50, 480.23 and 285.23

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Solution

The fourth proportional to 347.50, 480.23 and 285.23 is: 394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.50 : 480.23 = 285.23 : x
  2. Step 2: Convert to fraction form
    347.50/480.23 = 285.23/x
  3. Step 3: Cross multiply
    347.50x = 480.23 × 285.23
  4. Step 4: Simplify right side
    347.50x = 136,976.00
  5. Step 5: Solve for x
    x = 136,976.00/347.50
  6. Step 6: Final answer
    x = 394.18

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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.