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Finding the Fourth Proportional to 347.45, 523.22 and 302.34

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Solution

The fourth proportional to 347.45, 523.22 and 302.34 is: 455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.45 : 523.22 = 302.34 : x
  2. Step 2: Convert to fraction form
    347.45/523.22 = 302.34/x
  3. Step 3: Cross multiply
    347.45x = 523.22 × 302.34
  4. Step 4: Simplify right side
    347.45x = 158,187.99
  5. Step 5: Solve for x
    x = 158,187.99/347.45
  6. Step 6: Final answer
    x = 455.29

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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.