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Finding the Fourth Proportional to 314.94, 472.40 and 193.22

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Solution

The fourth proportional to 314.94, 472.40 and 193.22 is: 289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.94 : 472.40 = 193.22 : x
  2. Step 2: Convert to fraction form
    314.94/472.40 = 193.22/x
  3. Step 3: Cross multiply
    314.94x = 472.40 × 193.22
  4. Step 4: Simplify right side
    314.94x = 91,277.13
  5. Step 5: Solve for x
    x = 91,277.13/314.94
  6. Step 6: Final answer
    x = 289.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.