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Finding the Fourth Proportional to 417.51, 627.30 and 263.73

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Solution

The fourth proportional to 417.51, 627.30 and 263.73 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.51 : 627.30 = 263.73 : x
  2. Step 2: Convert to fraction form
    417.51/627.30 = 263.73/x
  3. Step 3: Cross multiply
    417.51x = 627.30 × 263.73
  4. Step 4: Simplify right side
    417.51x = 165,437.83
  5. Step 5: Solve for x
    x = 165,437.83/417.51
  6. Step 6: Final answer
    x = 396.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.