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Finding the Fourth Proportional to 314.16, 470.64 and 192.12

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Solution

The fourth proportional to 314.16, 470.64 and 192.12 is: 287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.16 : 470.64 = 192.12 : x
  2. Step 2: Convert to fraction form
    314.16/470.64 = 192.12/x
  3. Step 3: Cross multiply
    314.16x = 470.64 × 192.12
  4. Step 4: Simplify right side
    314.16x = 90,419.36
  5. Step 5: Solve for x
    x = 90,419.36/314.16
  6. Step 6: Final answer
    x = 287.81

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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.