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Finding the Fourth Proportional to 335.19, 501.45 and 257.56

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Solution

The fourth proportional to 335.19, 501.45 and 257.56 is: 385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.19 : 501.45 = 257.56 : x
  2. Step 2: Convert to fraction form
    335.19/501.45 = 257.56/x
  3. Step 3: Cross multiply
    335.19x = 501.45 × 257.56
  4. Step 4: Simplify right side
    335.19x = 129,153.46
  5. Step 5: Solve for x
    x = 129,153.46/335.19
  6. Step 6: Final answer
    x = 385.31

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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.