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Finding the Fourth Proportional to 346.64, 522.62 and 323.14

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Solution

The fourth proportional to 346.64, 522.62 and 323.14 is: 487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.64 : 522.62 = 323.14 : x
  2. Step 2: Convert to fraction form
    346.64/522.62 = 323.14/x
  3. Step 3: Cross multiply
    346.64x = 522.62 × 323.14
  4. Step 4: Simplify right side
    346.64x = 168,879.43
  5. Step 5: Solve for x
    x = 168,879.43/346.64
  6. Step 6: Final answer
    x = 487.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.