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Finding the Fourth Proportional to 467.37, 645 and 270.95

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Solution

The fourth proportional to 467.37, 645 and 270.95 is: 373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.37 : 645 = 270.95 : x
  2. Step 2: Convert to fraction form
    467.37/645 = 270.95/x
  3. Step 3: Cross multiply
    467.37x = 645 × 270.95
  4. Step 4: Simplify right side
    467.37x = 174,762.75
  5. Step 5: Solve for x
    x = 174,762.75/467.37
  6. Step 6: Final answer
    x = 373.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.