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Finding the Fourth Proportional to 380.16, 568.80 and 277.52

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Solution

The fourth proportional to 380.16, 568.80 and 277.52 is: 415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 568.80 = 277.52 : x
  2. Step 2: Convert to fraction form
    380.16/568.80 = 277.52/x
  3. Step 3: Cross multiply
    380.16x = 568.80 × 277.52
  4. Step 4: Simplify right side
    380.16x = 157,853.38
  5. Step 5: Solve for x
    x = 157,853.38/380.16
  6. Step 6: Final answer
    x = 415.23

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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.