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Finding the Fourth Proportional to 343.55, 473.72 and 264.69

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Solution

The fourth proportional to 343.55, 473.72 and 264.69 is: 364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.55 : 473.72 = 264.69 : x
  2. Step 2: Convert to fraction form
    343.55/473.72 = 264.69/x
  3. Step 3: Cross multiply
    343.55x = 473.72 × 264.69
  4. Step 4: Simplify right side
    343.55x = 125,388.29
  5. Step 5: Solve for x
    x = 125,388.29/343.55
  6. Step 6: Final answer
    x = 364.98

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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.