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Finding the Fourth Proportional to 390.36, 584.88 and 376

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Solution

The fourth proportional to 390.36, 584.88 and 376 is: 563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.36 : 584.88 = 376 : x
  2. Step 2: Convert to fraction form
    390.36/584.88 = 376/x
  3. Step 3: Cross multiply
    390.36x = 584.88 × 376
  4. Step 4: Simplify right side
    390.36x = 219,914.88
  5. Step 5: Solve for x
    x = 219,914.88/390.36
  6. Step 6: Final answer
    x = 563.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.