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Finding the Fourth Proportional to 405.20, 607.79 and 161.66

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Solution

The fourth proportional to 405.20, 607.79 and 161.66 is: 242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.20 : 607.79 = 161.66 : x
  2. Step 2: Convert to fraction form
    405.20/607.79 = 161.66/x
  3. Step 3: Cross multiply
    405.20x = 607.79 × 161.66
  4. Step 4: Simplify right side
    405.20x = 98,254.52
  5. Step 5: Solve for x
    x = 98,254.52/405.20
  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.