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Finding the Fourth Proportional to 347.49, 523.40 and 309.42

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Solution

The fourth proportional to 347.49, 523.40 and 309.42 is: 466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.49 : 523.40 = 309.42 : x
  2. Step 2: Convert to fraction form
    347.49/523.40 = 309.42/x
  3. Step 3: Cross multiply
    347.49x = 523.40 × 309.42
  4. Step 4: Simplify right side
    347.49x = 161,948.88
  5. Step 5: Solve for x
    x = 161,948.88/347.49
  6. Step 6: Final answer
    x = 466.05

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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.