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Finding the Fourth Proportional to 297.16, 445.77 and 143.16

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Solution

The fourth proportional to 297.16, 445.77 and 143.16 is: 214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.16 : 445.77 = 143.16 : x
  2. Step 2: Convert to fraction form
    297.16/445.77 = 143.16/x
  3. Step 3: Cross multiply
    297.16x = 445.77 × 143.16
  4. Step 4: Simplify right side
    297.16x = 63,816.43
  5. Step 5: Solve for x
    x = 63,816.43/297.16
  6. Step 6: Final answer
    x = 214.75

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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.