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Finding the Fourth Proportional to 423.77, 585.21 and 276.48

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Solution

The fourth proportional to 423.77, 585.21 and 276.48 is: 381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.77 : 585.21 = 276.48 : x
  2. Step 2: Convert to fraction form
    423.77/585.21 = 276.48/x
  3. Step 3: Cross multiply
    423.77x = 585.21 × 276.48
  4. Step 4: Simplify right side
    423.77x = 161,798.86
  5. Step 5: Solve for x
    x = 161,798.86/423.77
  6. Step 6: Final answer
    x = 381.81

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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.