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Finding the Fourth Proportional to 370.42, 555.74 and 164.96

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Solution

The fourth proportional to 370.42, 555.74 and 164.96 is: 247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.42 : 555.74 = 164.96 : x
  2. Step 2: Convert to fraction form
    370.42/555.74 = 164.96/x
  3. Step 3: Cross multiply
    370.42x = 555.74 × 164.96
  4. Step 4: Simplify right side
    370.42x = 91,674.87
  5. Step 5: Solve for x
    x = 91,674.87/370.42
  6. Step 6: Final answer
    x = 247.49

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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.