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Finding the Fourth Proportional to 347.29, 478.74 and 222.91

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Solution

The fourth proportional to 347.29, 478.74 and 222.91 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.29 : 478.74 = 222.91 : x
  2. Step 2: Convert to fraction form
    347.29/478.74 = 222.91/x
  3. Step 3: Cross multiply
    347.29x = 478.74 × 222.91
  4. Step 4: Simplify right side
    347.29x = 106,715.93
  5. Step 5: Solve for x
    x = 106,715.93/347.29
  6. Step 6: Final answer
    x = 307.28

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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.