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Finding the Fourth Proportional to 405.12, 607.77 and 161.63

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Solution

The fourth proportional to 405.12, 607.77 and 161.63 is: 242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.12 : 607.77 = 161.63 : x
  2. Step 2: Convert to fraction form
    405.12/607.77 = 161.63/x
  3. Step 3: Cross multiply
    405.12x = 607.77 × 161.63
  4. Step 4: Simplify right side
    405.12x = 98,233.87
  5. Step 5: Solve for x
    x = 98,233.87/405.12
  6. Step 6: Final answer
    x = 242.48

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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.