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Finding the Fourth Proportional to 304.07, 456.12 and 243.93

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Solution

The fourth proportional to 304.07, 456.12 and 243.93 is: 365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.07 : 456.12 = 243.93 : x
  2. Step 2: Convert to fraction form
    304.07/456.12 = 243.93/x
  3. Step 3: Cross multiply
    304.07x = 456.12 × 243.93
  4. Step 4: Simplify right side
    304.07x = 111,261.35
  5. Step 5: Solve for x
    x = 111,261.35/304.07
  6. Step 6: Final answer
    x = 365.91

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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.