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Finding the Fourth Proportional to 357.88, 493.63 and 269.59

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Solution

The fourth proportional to 357.88, 493.63 and 269.59 is: 371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.88 : 493.63 = 269.59 : x
  2. Step 2: Convert to fraction form
    357.88/493.63 = 269.59/x
  3. Step 3: Cross multiply
    357.88x = 493.63 × 269.59
  4. Step 4: Simplify right side
    357.88x = 133,077.71
  5. Step 5: Solve for x
    x = 133,077.71/357.88
  6. Step 6: Final answer
    x = 371.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.