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Finding the Fourth Proportional to 375.84, 520.56 and 347.76

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Solution

The fourth proportional to 375.84, 520.56 and 347.76 is: 481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.84 : 520.56 = 347.76 : x
  2. Step 2: Convert to fraction form
    375.84/520.56 = 347.76/x
  3. Step 3: Cross multiply
    375.84x = 520.56 × 347.76
  4. Step 4: Simplify right side
    375.84x = 181,029.95
  5. Step 5: Solve for x
    x = 181,029.95/375.84
  6. Step 6: Final answer
    x = 481.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.