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Finding the Fourth Proportional to 341.44, 470.54 and 243.16

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Solution

The fourth proportional to 341.44, 470.54 and 243.16 is: 335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.44 : 470.54 = 243.16 : x
  2. Step 2: Convert to fraction form
    341.44/470.54 = 243.16/x
  3. Step 3: Cross multiply
    341.44x = 470.54 × 243.16
  4. Step 4: Simplify right side
    341.44x = 114,416.51
  5. Step 5: Solve for x
    x = 114,416.51/341.44
  6. Step 6: Final answer
    x = 335.10

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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.