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Finding the Fourth Proportional to 335.78, 503.35 and 130.31

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Solution

The fourth proportional to 335.78, 503.35 and 130.31 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.78 : 503.35 = 130.31 : x
  2. Step 2: Convert to fraction form
    335.78/503.35 = 130.31/x
  3. Step 3: Cross multiply
    335.78x = 503.35 × 130.31
  4. Step 4: Simplify right side
    335.78x = 65,590.58
  5. Step 5: Solve for x
    x = 65,590.58/335.78
  6. Step 6: Final answer
    x = 195.34

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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.