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Finding the Fourth Proportional to 467.56, 645.30 and 271.08

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Solution

The fourth proportional to 467.56, 645.30 and 271.08 is: 374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.56 : 645.30 = 271.08 : x
  2. Step 2: Convert to fraction form
    467.56/645.30 = 271.08/x
  3. Step 3: Cross multiply
    467.56x = 645.30 × 271.08
  4. Step 4: Simplify right side
    467.56x = 174,927.92
  5. Step 5: Solve for x
    x = 174,927.92/467.56
  6. Step 6: Final answer
    x = 374.13

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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.