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Finding the Fourth Proportional to 344.26, 473.15 and 294.76

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Solution

The fourth proportional to 344.26, 473.15 and 294.76 is: 405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.26 : 473.15 = 294.76 : x
  2. Step 2: Convert to fraction form
    344.26/473.15 = 294.76/x
  3. Step 3: Cross multiply
    344.26x = 473.15 × 294.76
  4. Step 4: Simplify right side
    344.26x = 139,465.69
  5. Step 5: Solve for x
    x = 139,465.69/344.26
  6. Step 6: Final answer
    x = 405.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.