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Finding the Fourth Proportional to 346.72, 478.48 and 191.47

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Solution

The fourth proportional to 346.72, 478.48 and 191.47 is: 264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.72 : 478.48 = 191.47 : x
  2. Step 2: Convert to fraction form
    346.72/478.48 = 191.47/x
  3. Step 3: Cross multiply
    346.72x = 478.48 × 191.47
  4. Step 4: Simplify right side
    346.72x = 91,614.57
  5. Step 5: Solve for x
    x = 91,614.57/346.72
  6. Step 6: Final answer
    x = 264.23

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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.