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Finding the Fourth Proportional to 313.88, 429.93 and 309.92

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Solution

The fourth proportional to 313.88, 429.93 and 309.92 is: 424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.88 : 429.93 = 309.92 : x
  2. Step 2: Convert to fraction form
    313.88/429.93 = 309.92/x
  3. Step 3: Cross multiply
    313.88x = 429.93 × 309.92
  4. Step 4: Simplify right side
    313.88x = 133,241.76
  5. Step 5: Solve for x
    x = 133,241.76/313.88
  6. Step 6: Final answer
    x = 424.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.