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Finding the Fourth Proportional to 465.55, 697.23 and 367.81

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Solution

The fourth proportional to 465.55, 697.23 and 367.81 is: 550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.55 : 697.23 = 367.81 : x
  2. Step 2: Convert to fraction form
    465.55/697.23 = 367.81/x
  3. Step 3: Cross multiply
    465.55x = 697.23 × 367.81
  4. Step 4: Simplify right side
    465.55x = 256,448.17
  5. Step 5: Solve for x
    x = 256,448.17/465.55
  6. Step 6: Final answer
    x = 550.85

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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.