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Finding the Fourth Proportional to 347.50, 479.61 and 216.49

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Solution

The fourth proportional to 347.50, 479.61 and 216.49 is: 298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.50 : 479.61 = 216.49 : x
  2. Step 2: Convert to fraction form
    347.50/479.61 = 216.49/x
  3. Step 3: Cross multiply
    347.50x = 479.61 × 216.49
  4. Step 4: Simplify right side
    347.50x = 103,830.77
  5. Step 5: Solve for x
    x = 103,830.77/347.50
  6. Step 6: Final answer
    x = 298.79

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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.