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Finding the Fourth Proportional to 306.04, 458.25 and 161.45

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Solution

The fourth proportional to 306.04, 458.25 and 161.45 is: 241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.04 : 458.25 = 161.45 : x
  2. Step 2: Convert to fraction form
    306.04/458.25 = 161.45/x
  3. Step 3: Cross multiply
    306.04x = 458.25 × 161.45
  4. Step 4: Simplify right side
    306.04x = 73,985.00
  5. Step 5: Solve for x
    x = 73,985.00/306.04
  6. Step 6: Final answer
    x = 241.75

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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.