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Finding the Fourth Proportional to 344.24, 474.77 and 219.93

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Solution

The fourth proportional to 344.24, 474.77 and 219.93 is: 303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.24 : 474.77 = 219.93 : x
  2. Step 2: Convert to fraction form
    344.24/474.77 = 219.93/x
  3. Step 3: Cross multiply
    344.24x = 474.77 × 219.93
  4. Step 4: Simplify right side
    344.24x = 104,416.17
  5. Step 5: Solve for x
    x = 104,416.17/344.24
  6. Step 6: Final answer
    x = 303.32

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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.