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Finding the Fourth Proportional to 316.12, 472.08 and 312.74

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Solution

The fourth proportional to 316.12, 472.08 and 312.74 is: 467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.12 : 472.08 = 312.74 : x
  2. Step 2: Convert to fraction form
    316.12/472.08 = 312.74/x
  3. Step 3: Cross multiply
    316.12x = 472.08 × 312.74
  4. Step 4: Simplify right side
    316.12x = 147,638.30
  5. Step 5: Solve for x
    x = 147,638.30/316.12
  6. Step 6: Final answer
    x = 467.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.