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Finding the Fourth Proportional to 315.55, 472.37 and 308.35

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Solution

The fourth proportional to 315.55, 472.37 and 308.35 is: 461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.55 : 472.37 = 308.35 : x
  2. Step 2: Convert to fraction form
    315.55/472.37 = 308.35/x
  3. Step 3: Cross multiply
    315.55x = 472.37 × 308.35
  4. Step 4: Simplify right side
    315.55x = 145,653.75
  5. Step 5: Solve for x
    x = 145,653.75/315.55
  6. Step 6: Final answer
    x = 461.59

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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.