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Finding the Fourth Proportional to 347.33, 479.40 and 214.66

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Solution

The fourth proportional to 347.33, 479.40 and 214.66 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.33 : 479.40 = 214.66 : x
  2. Step 2: Convert to fraction form
    347.33/479.40 = 214.66/x
  3. Step 3: Cross multiply
    347.33x = 479.40 × 214.66
  4. Step 4: Simplify right side
    347.33x = 102,908.40
  5. Step 5: Solve for x
    x = 102,908.40/347.33
  6. Step 6: Final answer
    x = 296.29

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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.