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Finding the Fourth Proportional to 345.40, 473.72 and 327.81

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Solution

The fourth proportional to 345.40, 473.72 and 327.81 is: 449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.40 : 473.72 = 327.81 : x
  2. Step 2: Convert to fraction form
    345.40/473.72 = 327.81/x
  3. Step 3: Cross multiply
    345.40x = 473.72 × 327.81
  4. Step 4: Simplify right side
    345.40x = 155,290.15
  5. Step 5: Solve for x
    x = 155,290.15/345.40
  6. Step 6: Final answer
    x = 449.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.