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Finding the Fourth Proportional to 476.02, 656.94 and 301.06

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Solution

The fourth proportional to 476.02, 656.94 and 301.06 is: 415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.02 : 656.94 = 301.06 : x
  2. Step 2: Convert to fraction form
    476.02/656.94 = 301.06/x
  3. Step 3: Cross multiply
    476.02x = 656.94 × 301.06
  4. Step 4: Simplify right side
    476.02x = 197,778.36
  5. Step 5: Solve for x
    x = 197,778.36/476.02
  6. Step 6: Final answer
    x = 415.48

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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.