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Finding the Fourth Proportional to 451.58, 623.44 and 305

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Solution

The fourth proportional to 451.58, 623.44 and 305 is: 421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.58 : 623.44 = 305 : x
  2. Step 2: Convert to fraction form
    451.58/623.44 = 305/x
  3. Step 3: Cross multiply
    451.58x = 623.44 × 305
  4. Step 4: Simplify right side
    451.58x = 190,149.20
  5. Step 5: Solve for x
    x = 190,149.20/451.58
  6. Step 6: Final answer
    x = 421.08

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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.