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Finding the Fourth Proportional to 273.15, 407.75 and 253.13

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Solution

The fourth proportional to 273.15, 407.75 and 253.13 is: 377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.15 : 407.75 = 253.13 : x
  2. Step 2: Convert to fraction form
    273.15/407.75 = 253.13/x
  3. Step 3: Cross multiply
    273.15x = 407.75 × 253.13
  4. Step 4: Simplify right side
    273.15x = 103,210.45
  5. Step 5: Solve for x
    x = 103,210.45/273.15
  6. Step 6: Final answer
    x = 377.85

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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.