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Finding the Fourth Proportional to 346.20, 522.09 and 307.80

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Solution

The fourth proportional to 346.20, 522.09 and 307.80 is: 464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.20 : 522.09 = 307.80 : x
  2. Step 2: Convert to fraction form
    346.20/522.09 = 307.80/x
  3. Step 3: Cross multiply
    346.20x = 522.09 × 307.80
  4. Step 4: Simplify right side
    346.20x = 160,699.30
  5. Step 5: Solve for x
    x = 160,699.30/346.20
  6. Step 6: Final answer
    x = 464.18

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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.