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Finding the Fourth Proportional to 295.22, 407.36 and 177.20

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Solution

The fourth proportional to 295.22, 407.36 and 177.20 is: 244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.22 : 407.36 = 177.20 : x
  2. Step 2: Convert to fraction form
    295.22/407.36 = 177.20/x
  3. Step 3: Cross multiply
    295.22x = 407.36 × 177.20
  4. Step 4: Simplify right side
    295.22x = 72,184.19
  5. Step 5: Solve for x
    x = 72,184.19/295.22
  6. Step 6: Final answer
    x = 244.51

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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.