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Finding the Fourth Proportional to 402.87, 554.94 and 309.45

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Solution

The fourth proportional to 402.87, 554.94 and 309.45 is: 426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.87 : 554.94 = 309.45 : x
  2. Step 2: Convert to fraction form
    402.87/554.94 = 309.45/x
  3. Step 3: Cross multiply
    402.87x = 554.94 × 309.45
  4. Step 4: Simplify right side
    402.87x = 171,726.18
  5. Step 5: Solve for x
    x = 171,726.18/402.87
  6. Step 6: Final answer
    x = 426.26

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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.