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Finding the Fourth Proportional to 392.18, 587.72 and 310.03

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Solution

The fourth proportional to 392.18, 587.72 and 310.03 is: 464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.18 : 587.72 = 310.03 : x
  2. Step 2: Convert to fraction form
    392.18/587.72 = 310.03/x
  3. Step 3: Cross multiply
    392.18x = 587.72 × 310.03
  4. Step 4: Simplify right side
    392.18x = 182,210.14
  5. Step 5: Solve for x
    x = 182,210.14/392.18
  6. Step 6: Final answer
    x = 464.61

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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.