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Finding the Fourth Proportional to 343.42, 474.14 and 264.59

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Solution

The fourth proportional to 343.42, 474.14 and 264.59 is: 365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.42 : 474.14 = 264.59 : x
  2. Step 2: Convert to fraction form
    343.42/474.14 = 264.59/x
  3. Step 3: Cross multiply
    343.42x = 474.14 × 264.59
  4. Step 4: Simplify right side
    343.42x = 125,449.01
  5. Step 5: Solve for x
    x = 125,449.01/343.42
  6. Step 6: Final answer
    x = 365.30

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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.