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Finding the Fourth Proportional to 376.56, 564.67 and 171.07

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Solution

The fourth proportional to 376.56, 564.67 and 171.07 is: 256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.56 : 564.67 = 171.07 : x
  2. Step 2: Convert to fraction form
    376.56/564.67 = 171.07/x
  3. Step 3: Cross multiply
    376.56x = 564.67 × 171.07
  4. Step 4: Simplify right side
    376.56x = 96,598.10
  5. Step 5: Solve for x
    x = 96,598.10/376.56
  6. Step 6: Final answer
    x = 256.53

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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.