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Finding the Fourth Proportional to 518.04, 777.06 and 188.80

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Solution

The fourth proportional to 518.04, 777.06 and 188.80 is: 283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.04 : 777.06 = 188.80 : x
  2. Step 2: Convert to fraction form
    518.04/777.06 = 188.80/x
  3. Step 3: Cross multiply
    518.04x = 777.06 × 188.80
  4. Step 4: Simplify right side
    518.04x = 146,706.99
  5. Step 5: Solve for x
    x = 146,706.99/518.04
  6. Step 6: Final answer
    x = 283.20

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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.