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Finding the Fourth Proportional to 402.70, 556.20 and 309.22

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Solution

The fourth proportional to 402.70, 556.20 and 309.22 is: 427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.70 : 556.20 = 309.22 : x
  2. Step 2: Convert to fraction form
    402.70/556.20 = 309.22/x
  3. Step 3: Cross multiply
    402.70x = 556.20 × 309.22
  4. Step 4: Simplify right side
    402.70x = 171,988.08
  5. Step 5: Solve for x
    x = 171,988.08/402.70
  6. Step 6: Final answer
    x = 427.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.