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Finding the Fourth Proportional to 476.96, 715.36 and 130.31

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Solution

The fourth proportional to 476.96, 715.36 and 130.31 is: 195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.96 : 715.36 = 130.31 : x
  2. Step 2: Convert to fraction form
    476.96/715.36 = 130.31/x
  3. Step 3: Cross multiply
    476.96x = 715.36 × 130.31
  4. Step 4: Simplify right side
    476.96x = 93,218.56
  5. Step 5: Solve for x
    x = 93,218.56/476.96
  6. Step 6: Final answer
    x = 195.45

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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.