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Finding the Fourth Proportional to 341.14, 470.88 and 242.74

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Solution

The fourth proportional to 341.14, 470.88 and 242.74 is: 335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.14 : 470.88 = 242.74 : x
  2. Step 2: Convert to fraction form
    341.14/470.88 = 242.74/x
  3. Step 3: Cross multiply
    341.14x = 470.88 × 242.74
  4. Step 4: Simplify right side
    341.14x = 114,301.41
  5. Step 5: Solve for x
    x = 114,301.41/341.14
  6. Step 6: Final answer
    x = 335.06

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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.