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Finding the Fourth Proportional to 380.12, 569.91 and 307.09

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Solution

The fourth proportional to 380.12, 569.91 and 307.09 is: 460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 569.91 = 307.09 : x
  2. Step 2: Convert to fraction form
    380.12/569.91 = 307.09/x
  3. Step 3: Cross multiply
    380.12x = 569.91 × 307.09
  4. Step 4: Simplify right side
    380.12x = 175,009.28
  5. Step 5: Solve for x
    x = 175,009.28/380.12
  6. Step 6: Final answer
    x = 460.41

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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.