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Finding the Fourth Proportional to 295.12, 407.48 and 178.76

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Solution

The fourth proportional to 295.12, 407.48 and 178.76 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.12 : 407.48 = 178.76 : x
  2. Step 2: Convert to fraction form
    295.12/407.48 = 178.76/x
  3. Step 3: Cross multiply
    295.12x = 407.48 × 178.76
  4. Step 4: Simplify right side
    295.12x = 72,841.12
  5. Step 5: Solve for x
    x = 72,841.12/295.12
  6. Step 6: Final answer
    x = 246.82

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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.