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Finding the Fourth Proportional to 451.47, 623.04 and 255.00

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Solution

The fourth proportional to 451.47, 623.04 and 255.00 is: 351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.47 : 623.04 = 255.00 : x
  2. Step 2: Convert to fraction form
    451.47/623.04 = 255.00/x
  3. Step 3: Cross multiply
    451.47x = 623.04 × 255.00
  4. Step 4: Simplify right side
    451.47x = 158,870.81
  5. Step 5: Solve for x
    x = 158,870.81/451.47
  6. Step 6: Final answer
    x = 351.90

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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.