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Finding the Fourth Proportional to 456.24, 628.80 and 300.72

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Solution

The fourth proportional to 456.24, 628.80 and 300.72 is: 414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.24 : 628.80 = 300.72 : x
  2. Step 2: Convert to fraction form
    456.24/628.80 = 300.72/x
  3. Step 3: Cross multiply
    456.24x = 628.80 × 300.72
  4. Step 4: Simplify right side
    456.24x = 189,092.74
  5. Step 5: Solve for x
    x = 189,092.74/456.24
  6. Step 6: Final answer
    x = 414.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.