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Finding the Fourth Proportional to 309.93, 429.60 and 304.76

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Solution

The fourth proportional to 309.93, 429.60 and 304.76 is: 422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.93 : 429.60 = 304.76 : x
  2. Step 2: Convert to fraction form
    309.93/429.60 = 304.76/x
  3. Step 3: Cross multiply
    309.93x = 429.60 × 304.76
  4. Step 4: Simplify right side
    309.93x = 130,927.11
  5. Step 5: Solve for x
    x = 130,927.11/309.93
  6. Step 6: Final answer
    x = 422.45

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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.