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Finding the Fourth Proportional to 380.70, 570.65 and 161.45

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Solution

The fourth proportional to 380.70, 570.65 and 161.45 is: 242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 570.65 = 161.45 : x
  2. Step 2: Convert to fraction form
    380.70/570.65 = 161.45/x
  3. Step 3: Cross multiply
    380.70x = 570.65 × 161.45
  4. Step 4: Simplify right side
    380.70x = 92,127.78
  5. Step 5: Solve for x
    x = 92,127.78/380.70
  6. Step 6: Final answer
    x = 242.00

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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.