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Finding the Fourth Proportional to 213.45, 320.09 and 145.01

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Solution

The fourth proportional to 213.45, 320.09 and 145.01 is: 217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.45 : 320.09 = 145.01 : x
  2. Step 2: Convert to fraction form
    213.45/320.09 = 145.01/x
  3. Step 3: Cross multiply
    213.45x = 320.09 × 145.01
  4. Step 4: Simplify right side
    213.45x = 46,413.93
  5. Step 5: Solve for x
    x = 46,413.93/213.45
  6. Step 6: Final answer
    x = 217.45

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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.