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Finding the Fourth Proportional to 436.46, 601.74 and 357.48

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Solution

The fourth proportional to 436.46, 601.74 and 357.48 is: 492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.46 : 601.74 = 357.48 : x
  2. Step 2: Convert to fraction form
    436.46/601.74 = 357.48/x
  3. Step 3: Cross multiply
    436.46x = 601.74 × 357.48
  4. Step 4: Simplify right side
    436.46x = 215,110.02
  5. Step 5: Solve for x
    x = 215,110.02/436.46
  6. Step 6: Final answer
    x = 492.86

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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.