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Finding the Fourth Proportional to 456.52, 629.76 and 301

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Solution

The fourth proportional to 456.52, 629.76 and 301 is: 415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 629.76 = 301 : x
  2. Step 2: Convert to fraction form
    456.52/629.76 = 301/x
  3. Step 3: Cross multiply
    456.52x = 629.76 × 301
  4. Step 4: Simplify right side
    456.52x = 189,557.76
  5. Step 5: Solve for x
    x = 189,557.76/456.52
  6. Step 6: Final answer
    x = 415.22

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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.