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Finding the Fourth Proportional to 345.17, 474.16 and 327.62

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Solution

The fourth proportional to 345.17, 474.16 and 327.62 is: 450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.17 : 474.16 = 327.62 : x
  2. Step 2: Convert to fraction form
    345.17/474.16 = 327.62/x
  3. Step 3: Cross multiply
    345.17x = 474.16 × 327.62
  4. Step 4: Simplify right side
    345.17x = 155,344.30
  5. Step 5: Solve for x
    x = 155,344.30/345.17
  6. Step 6: Final answer
    x = 450.05

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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.