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Finding the Fourth Proportional to 472.36, 708.18 and 301

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Solution

The fourth proportional to 472.36, 708.18 and 301 is: 451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.36 : 708.18 = 301 : x
  2. Step 2: Convert to fraction form
    472.36/708.18 = 301/x
  3. Step 3: Cross multiply
    472.36x = 708.18 × 301
  4. Step 4: Simplify right side
    472.36x = 213,162.18
  5. Step 5: Solve for x
    x = 213,162.18/472.36
  6. Step 6: Final answer
    x = 451.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.