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Finding the Fourth Proportional to 377.82, 522.45 and 345.18

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Solution

The fourth proportional to 377.82, 522.45 and 345.18 is: 477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.82 : 522.45 = 345.18 : x
  2. Step 2: Convert to fraction form
    377.82/522.45 = 345.18/x
  3. Step 3: Cross multiply
    377.82x = 522.45 × 345.18
  4. Step 4: Simplify right side
    377.82x = 180,339.29
  5. Step 5: Solve for x
    x = 180,339.29/377.82
  6. Step 6: Final answer
    x = 477.32

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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.