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Finding the Fourth Proportional to 451.66, 623.12 and 285.88

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Solution

The fourth proportional to 451.66, 623.12 and 285.88 is: 394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.66 : 623.12 = 285.88 : x
  2. Step 2: Convert to fraction form
    451.66/623.12 = 285.88/x
  3. Step 3: Cross multiply
    451.66x = 623.12 × 285.88
  4. Step 4: Simplify right side
    451.66x = 178,137.55
  5. Step 5: Solve for x
    x = 178,137.55/451.66
  6. Step 6: Final answer
    x = 394.41

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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.