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Finding the Fourth Proportional to 402.91, 556.26 and 309.49

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Solution

The fourth proportional to 402.91, 556.26 and 309.49 is: 427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.91 : 556.26 = 309.49 : x
  2. Step 2: Convert to fraction form
    402.91/556.26 = 309.49/x
  3. Step 3: Cross multiply
    402.91x = 556.26 × 309.49
  4. Step 4: Simplify right side
    402.91x = 172,156.91
  5. Step 5: Solve for x
    x = 172,156.91/402.91
  6. Step 6: Final answer
    x = 427.28

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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.