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Finding the Fourth Proportional to 368.64, 550.94 and 317.60

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Solution

The fourth proportional to 368.64, 550.94 and 317.60 is: 474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.64 : 550.94 = 317.60 : x
  2. Step 2: Convert to fraction form
    368.64/550.94 = 317.60/x
  3. Step 3: Cross multiply
    368.64x = 550.94 × 317.60
  4. Step 4: Simplify right side
    368.64x = 174,978.54
  5. Step 5: Solve for x
    x = 174,978.54/368.64
  6. Step 6: Final answer
    x = 474.66

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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.