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Finding the Fourth Proportional to 476.51, 658.80 and 366.35

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Solution

The fourth proportional to 476.51, 658.80 and 366.35 is: 506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.51 : 658.80 = 366.35 : x
  2. Step 2: Convert to fraction form
    476.51/658.80 = 366.35/x
  3. Step 3: Cross multiply
    476.51x = 658.80 × 366.35
  4. Step 4: Simplify right side
    476.51x = 241,348.09
  5. Step 5: Solve for x
    x = 241,348.09/476.51
  6. Step 6: Final answer
    x = 506.50

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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.