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Finding the Fourth Proportional to 295.43, 407.70 and 171.13

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Solution

The fourth proportional to 295.43, 407.70 and 171.13 is: 236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.43 : 407.70 = 171.13 : x
  2. Step 2: Convert to fraction form
    295.43/407.70 = 171.13/x
  3. Step 3: Cross multiply
    295.43x = 407.70 × 171.13
  4. Step 4: Simplify right side
    295.43x = 69,769.45
  5. Step 5: Solve for x
    x = 69,769.45/295.43
  6. Step 6: Final answer
    x = 236.16

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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.