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Finding the Fourth Proportional to 390.00, 584.99 and 158.88

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Solution

The fourth proportional to 390.00, 584.99 and 158.88 is: 238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.00 : 584.99 = 158.88 : x
  2. Step 2: Convert to fraction form
    390.00/584.99 = 158.88/x
  3. Step 3: Cross multiply
    390.00x = 584.99 × 158.88
  4. Step 4: Simplify right side
    390.00x = 92,943.21
  5. Step 5: Solve for x
    x = 92,943.21/390.00
  6. Step 6: Final answer
    x = 238.32

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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.