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Finding the Fourth Proportional to 295.47, 407.80 and 171.20

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Solution

The fourth proportional to 295.47, 407.80 and 171.20 is: 236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.47 : 407.80 = 171.20 : x
  2. Step 2: Convert to fraction form
    295.47/407.80 = 171.20/x
  3. Step 3: Cross multiply
    295.47x = 407.80 × 171.20
  4. Step 4: Simplify right side
    295.47x = 69,815.95
  5. Step 5: Solve for x
    x = 69,815.95/295.47
  6. Step 6: Final answer
    x = 236.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.