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Finding the Fourth Proportional to 392.66, 587.99 and 290.01

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Solution

The fourth proportional to 392.66, 587.99 and 290.01 is: 434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.66 : 587.99 = 290.01 : x
  2. Step 2: Convert to fraction form
    392.66/587.99 = 290.01/x
  3. Step 3: Cross multiply
    392.66x = 587.99 × 290.01
  4. Step 4: Simplify right side
    392.66x = 170,525.91
  5. Step 5: Solve for x
    x = 170,525.91/392.66
  6. Step 6: Final answer
    x = 434.29

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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.