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Finding the Fourth Proportional to 295.00, 407.11 and 170.63

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Solution

The fourth proportional to 295.00, 407.11 and 170.63 is: 235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.00 : 407.11 = 170.63 : x
  2. Step 2: Convert to fraction form
    295.00/407.11 = 170.63/x
  3. Step 3: Cross multiply
    295.00x = 407.11 × 170.63
  4. Step 4: Simplify right side
    295.00x = 69,465.48
  5. Step 5: Solve for x
    x = 69,465.48/295.00
  6. Step 6: Final answer
    x = 235.48

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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.