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Finding the Fourth Proportional to 377.02, 561.82 and 364.63

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Solution

The fourth proportional to 377.02, 561.82 and 364.63 is: 543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.02 : 561.82 = 364.63 : x
  2. Step 2: Convert to fraction form
    377.02/561.82 = 364.63/x
  3. Step 3: Cross multiply
    377.02x = 561.82 × 364.63
  4. Step 4: Simplify right side
    377.02x = 204,857.79
  5. Step 5: Solve for x
    x = 204,857.79/377.02
  6. Step 6: Final answer
    x = 543.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.