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Finding the Fourth Proportional to 295.58, 406.20 and 243.02

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Solution

The fourth proportional to 295.58, 406.20 and 243.02 is: 333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.58 : 406.20 = 243.02 : x
  2. Step 2: Convert to fraction form
    295.58/406.20 = 243.02/x
  3. Step 3: Cross multiply
    295.58x = 406.20 × 243.02
  4. Step 4: Simplify right side
    295.58x = 98,714.72
  5. Step 5: Solve for x
    x = 98,714.72/295.58
  6. Step 6: Final answer
    x = 333.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.