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Finding the Fourth Proportional to 312.62, 429.20 and 304.58

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Solution

The fourth proportional to 312.62, 429.20 and 304.58 is: 418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.62 : 429.20 = 304.58 : x
  2. Step 2: Convert to fraction form
    312.62/429.20 = 304.58/x
  3. Step 3: Cross multiply
    312.62x = 429.20 × 304.58
  4. Step 4: Simplify right side
    312.62x = 130,722.07
  5. Step 5: Solve for x
    x = 130,722.07/312.62
  6. Step 6: Final answer
    x = 418.16

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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.