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Finding the Fourth Proportional to 380.03, 566.04 and 362.25

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Solution

The fourth proportional to 380.03, 566.04 and 362.25 is: 539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.03 : 566.04 = 362.25 : x
  2. Step 2: Convert to fraction form
    380.03/566.04 = 362.25/x
  3. Step 3: Cross multiply
    380.03x = 566.04 × 362.25
  4. Step 4: Simplify right side
    380.03x = 205,049.35
  5. Step 5: Solve for x
    x = 205,049.35/380.03
  6. Step 6: Final answer
    x = 539.57

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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.