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Finding the Fourth Proportional to 511.36, 765.12 and 318.08

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Solution

The fourth proportional to 511.36, 765.12 and 318.08 is: 475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.36 : 765.12 = 318.08 : x
  2. Step 2: Convert to fraction form
    511.36/765.12 = 318.08/x
  3. Step 3: Cross multiply
    511.36x = 765.12 × 318.08
  4. Step 4: Simplify right side
    511.36x = 243,369.37
  5. Step 5: Solve for x
    x = 243,369.37/511.36
  6. Step 6: Final answer
    x = 475.93

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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.