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Finding the Fourth Proportional to 451.86, 623.50 and 255.32

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Solution

The fourth proportional to 451.86, 623.50 and 255.32 is: 352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.86 : 623.50 = 255.32 : x
  2. Step 2: Convert to fraction form
    451.86/623.50 = 255.32/x
  3. Step 3: Cross multiply
    451.86x = 623.50 × 255.32
  4. Step 4: Simplify right side
    451.86x = 159,192.02
  5. Step 5: Solve for x
    x = 159,192.02/451.86
  6. Step 6: Final answer
    x = 352.30

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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.