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Finding the Fourth Proportional to 273.53, 407.53 and 259.76

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Solution

The fourth proportional to 273.53, 407.53 and 259.76 is: 387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.53 : 407.53 = 259.76 : x
  2. Step 2: Convert to fraction form
    273.53/407.53 = 259.76/x
  3. Step 3: Cross multiply
    273.53x = 407.53 × 259.76
  4. Step 4: Simplify right side
    273.53x = 105,859.99
  5. Step 5: Solve for x
    x = 105,859.99/273.53
  6. Step 6: Final answer
    x = 387.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.