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Finding the Fourth Proportional to 380.70, 568.45 and 312.36

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Solution

The fourth proportional to 380.70, 568.45 and 312.36 is: 466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 568.45 = 312.36 : x
  2. Step 2: Convert to fraction form
    380.70/568.45 = 312.36/x
  3. Step 3: Cross multiply
    380.70x = 568.45 × 312.36
  4. Step 4: Simplify right side
    380.70x = 177,559.30
  5. Step 5: Solve for x
    x = 177,559.30/380.70
  6. Step 6: Final answer
    x = 466.40

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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.