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Finding the Fourth Proportional to 476.09, 656.77 and 299.27

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Solution

The fourth proportional to 476.09, 656.77 and 299.27 is: 412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.09 : 656.77 = 299.27 : x
  2. Step 2: Convert to fraction form
    476.09/656.77 = 299.27/x
  3. Step 3: Cross multiply
    476.09x = 656.77 × 299.27
  4. Step 4: Simplify right side
    476.09x = 196,547.53
  5. Step 5: Solve for x
    x = 196,547.53/476.09
  6. Step 6: Final answer
    x = 412.84

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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.