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Finding the Fourth Proportional to 305, 456.80 and 183.12

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Solution

The fourth proportional to 305, 456.80 and 183.12 is: 274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305 : 456.80 = 183.12 : x
  2. Step 2: Convert to fraction form
    305/456.80 = 183.12/x
  3. Step 3: Cross multiply
    305x = 456.80 × 183.12
  4. Step 4: Simplify right side
    305x = 83,649.22
  5. Step 5: Solve for x
    x = 83,649.22/305
  6. Step 6: Final answer
    x = 274.26

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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.