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Finding the Fourth Proportional to 460.05, 690.36 and 295.65

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Solution

The fourth proportional to 460.05, 690.36 and 295.65 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.05 : 690.36 = 295.65 : x
  2. Step 2: Convert to fraction form
    460.05/690.36 = 295.65/x
  3. Step 3: Cross multiply
    460.05x = 690.36 × 295.65
  4. Step 4: Simplify right side
    460.05x = 204,104.93
  5. Step 5: Solve for x
    x = 204,104.93/460.05
  6. Step 6: Final answer
    x = 443.66

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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.