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Finding the Fourth Proportional to 402.93, 556.36 and 309.53

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Solution

The fourth proportional to 402.93, 556.36 and 309.53 is: 427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.93 : 556.36 = 309.53 : x
  2. Step 2: Convert to fraction form
    402.93/556.36 = 309.53/x
  3. Step 3: Cross multiply
    402.93x = 556.36 × 309.53
  4. Step 4: Simplify right side
    402.93x = 172,207.60
  5. Step 5: Solve for x
    x = 172,207.60/402.93
  6. Step 6: Final answer
    x = 427.39

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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.