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Finding the Fourth Proportional to 337.69, 505.75 and 260.04

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Solution

The fourth proportional to 337.69, 505.75 and 260.04 is: 389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.69 : 505.75 = 260.04 : x
  2. Step 2: Convert to fraction form
    337.69/505.75 = 260.04/x
  3. Step 3: Cross multiply
    337.69x = 505.75 × 260.04
  4. Step 4: Simplify right side
    337.69x = 131,511.40
  5. Step 5: Solve for x
    x = 131,511.40/337.69
  6. Step 6: Final answer
    x = 389.44

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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.