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Finding the Fourth Proportional to 346.20, 522.06 and 308.40

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Solution

The fourth proportional to 346.20, 522.06 and 308.40 is: 465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.20 : 522.06 = 308.40 : x
  2. Step 2: Convert to fraction form
    346.20/522.06 = 308.40/x
  3. Step 3: Cross multiply
    346.20x = 522.06 × 308.40
  4. Step 4: Simplify right side
    346.20x = 161,003.30
  5. Step 5: Solve for x
    x = 161,003.30/346.20
  6. Step 6: Final answer
    x = 465.06

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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.