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Finding the Fourth Proportional to 476.19, 713.67 and 215.82

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Solution

The fourth proportional to 476.19, 713.67 and 215.82 is: 323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.19 : 713.67 = 215.82 : x
  2. Step 2: Convert to fraction form
    476.19/713.67 = 215.82/x
  3. Step 3: Cross multiply
    476.19x = 713.67 × 215.82
  4. Step 4: Simplify right side
    476.19x = 154,024.26
  5. Step 5: Solve for x
    x = 154,024.26/476.19
  6. Step 6: Final answer
    x = 323.45

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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.