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Finding the Fourth Proportional to 405.39, 607.78 and 251.43

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Solution

The fourth proportional to 405.39, 607.78 and 251.43 is: 376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.39 : 607.78 = 251.43 : x
  2. Step 2: Convert to fraction form
    405.39/607.78 = 251.43/x
  3. Step 3: Cross multiply
    405.39x = 607.78 × 251.43
  4. Step 4: Simplify right side
    405.39x = 152,814.13
  5. Step 5: Solve for x
    x = 152,814.13/405.39
  6. Step 6: Final answer
    x = 376.96

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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.