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Finding the Fourth Proportional to 382.44, 570.47 and 376.16

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Solution

The fourth proportional to 382.44, 570.47 and 376.16 is: 561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.44 : 570.47 = 376.16 : x
  2. Step 2: Convert to fraction form
    382.44/570.47 = 376.16/x
  3. Step 3: Cross multiply
    382.44x = 570.47 × 376.16
  4. Step 4: Simplify right side
    382.44x = 214,588.00
  5. Step 5: Solve for x
    x = 214,588.00/382.44
  6. Step 6: Final answer
    x = 561.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.