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Finding the Fourth Proportional to 305.55, 457.73 and 183.45

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Solution

The fourth proportional to 305.55, 457.73 and 183.45 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.55 : 457.73 = 183.45 : x
  2. Step 2: Convert to fraction form
    305.55/457.73 = 183.45/x
  3. Step 3: Cross multiply
    305.55x = 457.73 × 183.45
  4. Step 4: Simplify right side
    305.55x = 83,969.65
  5. Step 5: Solve for x
    x = 83,969.65/305.55
  6. Step 6: Final answer
    x = 274.81

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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.