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Finding the Fourth Proportional to 405.35, 607.92 and 112.78

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Solution

The fourth proportional to 405.35, 607.92 and 112.78 is: 169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.35 : 607.92 = 112.78 : x
  2. Step 2: Convert to fraction form
    405.35/607.92 = 112.78/x
  3. Step 3: Cross multiply
    405.35x = 607.92 × 112.78
  4. Step 4: Simplify right side
    405.35x = 68,561.22
  5. Step 5: Solve for x
    x = 68,561.22/405.35
  6. Step 6: Final answer
    x = 169.14

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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.