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Finding the Fourth Proportional to 343.24, 473.16 and 269.32

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Solution

The fourth proportional to 343.24, 473.16 and 269.32 is: 371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 473.16 = 269.32 : x
  2. Step 2: Convert to fraction form
    343.24/473.16 = 269.32/x
  3. Step 3: Cross multiply
    343.24x = 473.16 × 269.32
  4. Step 4: Simplify right side
    343.24x = 127,431.45
  5. Step 5: Solve for x
    x = 127,431.45/343.24
  6. Step 6: Final answer
    x = 371.26

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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.