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Finding the Fourth Proportional to 316.08, 438.48 and 305.28

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Solution

The fourth proportional to 316.08, 438.48 and 305.28 is: 423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.08 : 438.48 = 305.28 : x
  2. Step 2: Convert to fraction form
    316.08/438.48 = 305.28/x
  3. Step 3: Cross multiply
    316.08x = 438.48 × 305.28
  4. Step 4: Simplify right side
    316.08x = 133,859.17
  5. Step 5: Solve for x
    x = 133,859.17/316.08
  6. Step 6: Final answer
    x = 423.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.