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Finding the Fourth Proportional to 314.59, 471.75 and 192.91

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Solution

The fourth proportional to 314.59, 471.75 and 192.91 is: 289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.59 : 471.75 = 192.91 : x
  2. Step 2: Convert to fraction form
    314.59/471.75 = 192.91/x
  3. Step 3: Cross multiply
    314.59x = 471.75 × 192.91
  4. Step 4: Simplify right side
    314.59x = 91,005.29
  5. Step 5: Solve for x
    x = 91,005.29/314.59
  6. Step 6: Final answer
    x = 289.28

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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.