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Finding the Fourth Proportional to 347.66, 521.76 and 225.89

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Solution

The fourth proportional to 347.66, 521.76 and 225.89 is: 339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.66 : 521.76 = 225.89 : x
  2. Step 2: Convert to fraction form
    347.66/521.76 = 225.89/x
  3. Step 3: Cross multiply
    347.66x = 521.76 × 225.89
  4. Step 4: Simplify right side
    347.66x = 117,860.37
  5. Step 5: Solve for x
    x = 117,860.37/347.66
  6. Step 6: Final answer
    x = 339.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.