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Finding the Fourth Proportional to 455.37, 682.78 and 147.16

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Solution

The fourth proportional to 455.37, 682.78 and 147.16 is: 220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.37 : 682.78 = 147.16 : x
  2. Step 2: Convert to fraction form
    455.37/682.78 = 147.16/x
  3. Step 3: Cross multiply
    455.37x = 682.78 × 147.16
  4. Step 4: Simplify right side
    455.37x = 100,477.90
  5. Step 5: Solve for x
    x = 100,477.90/455.37
  6. Step 6: Final answer
    x = 220.65

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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.