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Finding the Fourth Proportional to 315.51, 474.94 and 224.84

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Solution

The fourth proportional to 315.51, 474.94 and 224.84 is: 338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.51 : 474.94 = 224.84 : x
  2. Step 2: Convert to fraction form
    315.51/474.94 = 224.84/x
  3. Step 3: Cross multiply
    315.51x = 474.94 × 224.84
  4. Step 4: Simplify right side
    315.51x = 106,783.13
  5. Step 5: Solve for x
    x = 106,783.13/315.51
  6. Step 6: Final answer
    x = 338.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.