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Finding the Fourth Proportional to 405.92, 607.55 and 251.97

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Solution

The fourth proportional to 405.92, 607.55 and 251.97 is: 377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.92 : 607.55 = 251.97 : x
  2. Step 2: Convert to fraction form
    405.92/607.55 = 251.97/x
  3. Step 3: Cross multiply
    405.92x = 607.55 × 251.97
  4. Step 4: Simplify right side
    405.92x = 153,083.11
  5. Step 5: Solve for x
    x = 153,083.11/405.92
  6. Step 6: Final answer
    x = 377.13

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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.