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Finding the Fourth Proportional to 476.16, 713.70 and 216.38

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Solution

The fourth proportional to 476.16, 713.70 and 216.38 is: 324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.16 : 713.70 = 216.38 : x
  2. Step 2: Convert to fraction form
    476.16/713.70 = 216.38/x
  3. Step 3: Cross multiply
    476.16x = 713.70 × 216.38
  4. Step 4: Simplify right side
    476.16x = 154,430.41
  5. Step 5: Solve for x
    x = 154,430.41/476.16
  6. Step 6: Final answer
    x = 324.32

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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.