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Finding the Fourth Proportional to 477.55, 716.36 and 130.89

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Solution

The fourth proportional to 477.55, 716.36 and 130.89 is: 196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.55 : 716.36 = 130.89 : x
  2. Step 2: Convert to fraction form
    477.55/716.36 = 130.89/x
  3. Step 3: Cross multiply
    477.55x = 716.36 × 130.89
  4. Step 4: Simplify right side
    477.55x = 93,764.36
  5. Step 5: Solve for x
    x = 93,764.36/477.55
  6. Step 6: Final answer
    x = 196.34

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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.