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Finding the Fourth Proportional to 377.60, 563.47 and 322.72

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Solution

The fourth proportional to 377.60, 563.47 and 322.72 is: 481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.60 : 563.47 = 322.72 : x
  2. Step 2: Convert to fraction form
    377.60/563.47 = 322.72/x
  3. Step 3: Cross multiply
    377.60x = 563.47 × 322.72
  4. Step 4: Simplify right side
    377.60x = 181,840.82
  5. Step 5: Solve for x
    x = 181,840.82/377.60
  6. Step 6: Final answer
    x = 481.58

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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.