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Finding the Fourth Proportional to 380.36, 524.91 and 223.11

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Solution

The fourth proportional to 380.36, 524.91 and 223.11 is: 307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.36 : 524.91 = 223.11 : x
  2. Step 2: Convert to fraction form
    380.36/524.91 = 223.11/x
  3. Step 3: Cross multiply
    380.36x = 524.91 × 223.11
  4. Step 4: Simplify right side
    380.36x = 117,113.10
  5. Step 5: Solve for x
    x = 117,113.10/380.36
  6. Step 6: Final answer
    x = 307.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.