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Finding the Fourth Proportional to 476.03, 713.59 and 216.10

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Solution

The fourth proportional to 476.03, 713.59 and 216.10 is: 323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.03 : 713.59 = 216.10 : x
  2. Step 2: Convert to fraction form
    476.03/713.59 = 216.10/x
  3. Step 3: Cross multiply
    476.03x = 713.59 × 216.10
  4. Step 4: Simplify right side
    476.03x = 154,205.72
  5. Step 5: Solve for x
    x = 154,205.72/476.03
  6. Step 6: Final answer
    x = 323.94

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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.