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Finding the Fourth Proportional to 511.30, 765.91 and 237.01

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Solution

The fourth proportional to 511.30, 765.91 and 237.01 is: 355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 765.91 = 237.01 : x
  2. Step 2: Convert to fraction form
    511.30/765.91 = 237.01/x
  3. Step 3: Cross multiply
    511.30x = 765.91 × 237.01
  4. Step 4: Simplify right side
    511.30x = 181,528.33
  5. Step 5: Solve for x
    x = 181,528.33/511.30
  6. Step 6: Final answer
    x = 355.03

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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.