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Finding the Fourth Proportional to 380.25, 567.79 and 311.60

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Solution

The fourth proportional to 380.25, 567.79 and 311.60 is: 465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 567.79 = 311.60 : x
  2. Step 2: Convert to fraction form
    380.25/567.79 = 311.60/x
  3. Step 3: Cross multiply
    380.25x = 567.79 × 311.60
  4. Step 4: Simplify right side
    380.25x = 176,924.00
  5. Step 5: Solve for x
    x = 176,924.00/380.25
  6. Step 6: Final answer
    x = 465.28

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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.