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Finding the Fourth Proportional to 511.93, 768.02 and 146.72

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Solution

The fourth proportional to 511.93, 768.02 and 146.72 is: 220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.93 : 768.02 = 146.72 : x
  2. Step 2: Convert to fraction form
    511.93/768.02 = 146.72/x
  3. Step 3: Cross multiply
    511.93x = 768.02 × 146.72
  4. Step 4: Simplify right side
    511.93x = 112,683.89
  5. Step 5: Solve for x
    x = 112,683.89/511.93
  6. Step 6: Final answer
    x = 220.12

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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.