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Finding the Fourth Proportional to 479.45, 719.10 and 132.80

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Solution

The fourth proportional to 479.45, 719.10 and 132.80 is: 199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.45 : 719.10 = 132.80 : x
  2. Step 2: Convert to fraction form
    479.45/719.10 = 132.80/x
  3. Step 3: Cross multiply
    479.45x = 719.10 × 132.80
  4. Step 4: Simplify right side
    479.45x = 95,492.88
  5. Step 5: Solve for x
    x = 95,492.88/479.45
  6. Step 6: Final answer
    x = 199.17

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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.