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Finding the Fourth Proportional to 304.10, 456.02 and 157.79

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Solution

The fourth proportional to 304.10, 456.02 and 157.79 is: 236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.10 : 456.02 = 157.79 : x
  2. Step 2: Convert to fraction form
    304.10/456.02 = 157.79/x
  3. Step 3: Cross multiply
    304.10x = 456.02 × 157.79
  4. Step 4: Simplify right side
    304.10x = 71,955.40
  5. Step 5: Solve for x
    x = 71,955.40/304.10
  6. Step 6: Final answer
    x = 236.62

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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.