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Finding the Fourth Proportional to 380.02, 569.48 and 206.79

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Solution

The fourth proportional to 380.02, 569.48 and 206.79 is: 309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.02 : 569.48 = 206.79 : x
  2. Step 2: Convert to fraction form
    380.02/569.48 = 206.79/x
  3. Step 3: Cross multiply
    380.02x = 569.48 × 206.79
  4. Step 4: Simplify right side
    380.02x = 117,762.77
  5. Step 5: Solve for x
    x = 117,762.77/380.02
  6. Step 6: Final answer
    x = 309.89

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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.