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Finding the Fourth Proportional to 380.64, 571.04 and 188.24

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Solution

The fourth proportional to 380.64, 571.04 and 188.24 is: 282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 571.04 = 188.24 : x
  2. Step 2: Convert to fraction form
    380.64/571.04 = 188.24/x
  3. Step 3: Cross multiply
    380.64x = 571.04 × 188.24
  4. Step 4: Simplify right side
    380.64x = 107,492.57
  5. Step 5: Solve for x
    x = 107,492.57/380.64
  6. Step 6: Final answer
    x = 282.40

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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.