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Finding the Fourth Proportional to 504.29, 755.75 and 260.31

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Solution

The fourth proportional to 504.29, 755.75 and 260.31 is: 390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.29 : 755.75 = 260.31 : x
  2. Step 2: Convert to fraction form
    504.29/755.75 = 260.31/x
  3. Step 3: Cross multiply
    504.29x = 755.75 × 260.31
  4. Step 4: Simplify right side
    504.29x = 196,731.30
  5. Step 5: Solve for x
    x = 196,731.30/504.29
  6. Step 6: Final answer
    x = 390.11

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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.