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Finding the Fourth Proportional to 467.00, 700.78 and 189.30

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Solution

The fourth proportional to 467.00, 700.78 and 189.30 is: 284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.00 : 700.78 = 189.30 : x
  2. Step 2: Convert to fraction form
    467.00/700.78 = 189.30/x
  3. Step 3: Cross multiply
    467.00x = 700.78 × 189.30
  4. Step 4: Simplify right side
    467.00x = 132,656.67
  5. Step 5: Solve for x
    x = 132,656.67/467.00
  6. Step 6: Final answer
    x = 284.06

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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.