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Finding the Fourth Proportional to 308.41, 425.57 and 175.63

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Solution

The fourth proportional to 308.41, 425.57 and 175.63 is: 242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.41 : 425.57 = 175.63 : x
  2. Step 2: Convert to fraction form
    308.41/425.57 = 175.63/x
  3. Step 3: Cross multiply
    308.41x = 425.57 × 175.63
  4. Step 4: Simplify right side
    308.41x = 74,742.86
  5. Step 5: Solve for x
    x = 74,742.86/308.41
  6. Step 6: Final answer
    x = 242.35

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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.