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Finding the Fourth Proportional to 368.32, 550.09 and 317.08

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Solution

The fourth proportional to 368.32, 550.09 and 317.08 is: 473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.32 : 550.09 = 317.08 : x
  2. Step 2: Convert to fraction form
    368.32/550.09 = 317.08/x
  3. Step 3: Cross multiply
    368.32x = 550.09 × 317.08
  4. Step 4: Simplify right side
    368.32x = 174,422.54
  5. Step 5: Solve for x
    x = 174,422.54/368.32
  6. Step 6: Final answer
    x = 473.56

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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.