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Finding the Fourth Proportional to 476.42, 713.51 and 232.18

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Solution

The fourth proportional to 476.42, 713.51 and 232.18 is: 347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.42 : 713.51 = 232.18 : x
  2. Step 2: Convert to fraction form
    476.42/713.51 = 232.18/x
  3. Step 3: Cross multiply
    476.42x = 713.51 × 232.18
  4. Step 4: Simplify right side
    476.42x = 165,662.75
  5. Step 5: Solve for x
    x = 165,662.75/476.42
  6. Step 6: Final answer
    x = 347.72

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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.