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Finding the Fourth Proportional to 316.01, 439.10 and 312.63

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Solution

The fourth proportional to 316.01, 439.10 and 312.63 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.01 : 439.10 = 312.63 : x
  2. Step 2: Convert to fraction form
    316.01/439.10 = 312.63/x
  3. Step 3: Cross multiply
    316.01x = 439.10 × 312.63
  4. Step 4: Simplify right side
    316.01x = 137,274.27
  5. Step 5: Solve for x
    x = 137,274.27/316.01
  6. Step 6: Final answer
    x = 434.41

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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.