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Finding the Fourth Proportional to 442.04, 660.24 and 376.74

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Solution

The fourth proportional to 442.04, 660.24 and 376.74 is: 562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.04 : 660.24 = 376.74 : x
  2. Step 2: Convert to fraction form
    442.04/660.24 = 376.74/x
  3. Step 3: Cross multiply
    442.04x = 660.24 × 376.74
  4. Step 4: Simplify right side
    442.04x = 248,738.82
  5. Step 5: Solve for x
    x = 248,738.82/442.04
  6. Step 6: Final answer
    x = 562.71

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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.