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Finding the Fourth Proportional to 380.34, 566.10 and 371.84

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Solution

The fourth proportional to 380.34, 566.10 and 371.84 is: 553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 566.10 = 371.84 : x
  2. Step 2: Convert to fraction form
    380.34/566.10 = 371.84/x
  3. Step 3: Cross multiply
    380.34x = 566.10 × 371.84
  4. Step 4: Simplify right side
    380.34x = 210,495.79
  5. Step 5: Solve for x
    x = 210,495.79/380.34
  6. Step 6: Final answer
    x = 553.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.