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Finding the Fourth Proportional to 316.08, 472.95 and 264.20

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Solution

The fourth proportional to 316.08, 472.95 and 264.20 is: 395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.08 : 472.95 = 264.20 : x
  2. Step 2: Convert to fraction form
    316.08/472.95 = 264.20/x
  3. Step 3: Cross multiply
    316.08x = 472.95 × 264.20
  4. Step 4: Simplify right side
    316.08x = 124,951.03
  5. Step 5: Solve for x
    x = 124,951.03/316.08
  6. Step 6: Final answer
    x = 395.31

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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.