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Finding the Fourth Proportional to 309.88, 429.34 and 288.82

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Solution

The fourth proportional to 309.88, 429.34 and 288.82 is: 400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 429.34 = 288.82 : x
  2. Step 2: Convert to fraction form
    309.88/429.34 = 288.82/x
  3. Step 3: Cross multiply
    309.88x = 429.34 × 288.82
  4. Step 4: Simplify right side
    309.88x = 124,001.98
  5. Step 5: Solve for x
    x = 124,001.98/309.88
  6. Step 6: Final answer
    x = 400.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.