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Finding the Fourth Proportional to 314.32, 470.87 and 192.28

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Solution

The fourth proportional to 314.32, 470.87 and 192.28 is: 288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.32 : 470.87 = 192.28 : x
  2. Step 2: Convert to fraction form
    314.32/470.87 = 192.28/x
  3. Step 3: Cross multiply
    314.32x = 470.87 × 192.28
  4. Step 4: Simplify right side
    314.32x = 90,538.88
  5. Step 5: Solve for x
    x = 90,538.88/314.32
  6. Step 6: Final answer
    x = 288.05

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