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Finding the Fourth Proportional to 344.04, 474.64 and 265.42

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Solution

The fourth proportional to 344.04, 474.64 and 265.42 is: 366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.04 : 474.64 = 265.42 : x
  2. Step 2: Convert to fraction form
    344.04/474.64 = 265.42/x
  3. Step 3: Cross multiply
    344.04x = 474.64 × 265.42
  4. Step 4: Simplify right side
    344.04x = 125,978.95
  5. Step 5: Solve for x
    x = 125,978.95/344.04
  6. Step 6: Final answer
    x = 366.18

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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.