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Finding the Fourth Proportional to 357.41, 495.72 and 342.83

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Solution

The fourth proportional to 357.41, 495.72 and 342.83 is: 475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.41 : 495.72 = 342.83 : x
  2. Step 2: Convert to fraction form
    357.41/495.72 = 342.83/x
  3. Step 3: Cross multiply
    357.41x = 495.72 × 342.83
  4. Step 4: Simplify right side
    357.41x = 169,946.49
  5. Step 5: Solve for x
    x = 169,946.49/357.41
  6. Step 6: Final answer
    x = 475.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.