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Finding the Fourth Proportional to 423.88, 585.21 and 276.77

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Solution

The fourth proportional to 423.88, 585.21 and 276.77 is: 382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.88 : 585.21 = 276.77 : x
  2. Step 2: Convert to fraction form
    423.88/585.21 = 276.77/x
  3. Step 3: Cross multiply
    423.88x = 585.21 × 276.77
  4. Step 4: Simplify right side
    423.88x = 161,968.57
  5. Step 5: Solve for x
    x = 161,968.57/423.88
  6. Step 6: Final answer
    x = 382.11

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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.