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Finding the Fourth Proportional to 341.21, 470.04 and 271.25

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Solution

The fourth proportional to 341.21, 470.04 and 271.25 is: 373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.21 : 470.04 = 271.25 : x
  2. Step 2: Convert to fraction form
    341.21/470.04 = 271.25/x
  3. Step 3: Cross multiply
    341.21x = 470.04 × 271.25
  4. Step 4: Simplify right side
    341.21x = 127,496.00
  5. Step 5: Solve for x
    x = 127,496.00/341.21
  6. Step 6: Final answer
    x = 373.66

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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.