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Finding the Fourth Proportional to 307.90, 459.82 and 273.88

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Solution

The fourth proportional to 307.90, 459.82 and 273.88 is: 409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.90 : 459.82 = 273.88 : x
  2. Step 2: Convert to fraction form
    307.90/459.82 = 273.88/x
  3. Step 3: Cross multiply
    307.90x = 459.82 × 273.88
  4. Step 4: Simplify right side
    307.90x = 125,931.83
  5. Step 5: Solve for x
    x = 125,931.83/307.90
  6. Step 6: Final answer
    x = 409.01

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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.