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Finding the Fourth Proportional to 451.64, 623.30 and 255.17

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Solution

The fourth proportional to 451.64, 623.30 and 255.17 is: 352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.64 : 623.30 = 255.17 : x
  2. Step 2: Convert to fraction form
    451.64/623.30 = 255.17/x
  3. Step 3: Cross multiply
    451.64x = 623.30 × 255.17
  4. Step 4: Simplify right side
    451.64x = 159,047.74
  5. Step 5: Solve for x
    x = 159,047.74/451.64
  6. Step 6: Final answer
    x = 352.15

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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.