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Finding the Fourth Proportional to 467.12, 700.40 and 192.96

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Solution

The fourth proportional to 467.12, 700.40 and 192.96 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.12 : 700.40 = 192.96 : x
  2. Step 2: Convert to fraction form
    467.12/700.40 = 192.96/x
  3. Step 3: Cross multiply
    467.12x = 700.40 × 192.96
  4. Step 4: Simplify right side
    467.12x = 135,149.18
  5. Step 5: Solve for x
    x = 135,149.18/467.12
  6. Step 6: Final answer
    x = 289.32

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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.