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Finding the Fourth Proportional to 436.55, 653.74 and 273.74

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Solution

The fourth proportional to 436.55, 653.74 and 273.74 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.55 : 653.74 = 273.74 : x
  2. Step 2: Convert to fraction form
    436.55/653.74 = 273.74/x
  3. Step 3: Cross multiply
    436.55x = 653.74 × 273.74
  4. Step 4: Simplify right side
    436.55x = 178,950.83
  5. Step 5: Solve for x
    x = 178,950.83/436.55
  6. Step 6: Final answer
    x = 409.93

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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.