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Finding the Fourth Proportional to 312.72, 429.18 and 304.56

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Solution

The fourth proportional to 312.72, 429.18 and 304.56 is: 417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.72 : 429.18 = 304.56 : x
  2. Step 2: Convert to fraction form
    312.72/429.18 = 304.56/x
  3. Step 3: Cross multiply
    312.72x = 429.18 × 304.56
  4. Step 4: Simplify right side
    312.72x = 130,711.06
  5. Step 5: Solve for x
    x = 130,711.06/312.72
  6. Step 6: Final answer
    x = 417.98

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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.