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Finding the Fourth Proportional to 392.28, 540.84 and 294.24

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Solution

The fourth proportional to 392.28, 540.84 and 294.24 is: 405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.28 : 540.84 = 294.24 : x
  2. Step 2: Convert to fraction form
    392.28/540.84 = 294.24/x
  3. Step 3: Cross multiply
    392.28x = 540.84 × 294.24
  4. Step 4: Simplify right side
    392.28x = 159,136.76
  5. Step 5: Solve for x
    x = 159,136.76/392.28
  6. Step 6: Final answer
    x = 405.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.