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Finding the Fourth Proportional to 511.30, 765.19 and 316.22

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Solution

The fourth proportional to 511.30, 765.19 and 316.22 is: 473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 765.19 = 316.22 : x
  2. Step 2: Convert to fraction form
    511.30/765.19 = 316.22/x
  3. Step 3: Cross multiply
    511.30x = 765.19 × 316.22
  4. Step 4: Simplify right side
    511.30x = 241,966.80
  5. Step 5: Solve for x
    x = 241,966.80/511.30
  6. Step 6: Final answer
    x = 473.24

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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.