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Finding the Fourth Proportional to 380.63, 573.02 and 259.67

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Solution

The fourth proportional to 380.63, 573.02 and 259.67 is: 390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.63 : 573.02 = 259.67 : x
  2. Step 2: Convert to fraction form
    380.63/573.02 = 259.67/x
  3. Step 3: Cross multiply
    380.63x = 573.02 × 259.67
  4. Step 4: Simplify right side
    380.63x = 148,798.67
  5. Step 5: Solve for x
    x = 148,798.67/380.63
  6. Step 6: Final answer
    x = 390.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.