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Finding the Fourth Proportional to 313.58, 472.71 and 308.86

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Solution

The fourth proportional to 313.58, 472.71 and 308.86 is: 465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.58 : 472.71 = 308.86 : x
  2. Step 2: Convert to fraction form
    313.58/472.71 = 308.86/x
  3. Step 3: Cross multiply
    313.58x = 472.71 × 308.86
  4. Step 4: Simplify right side
    313.58x = 146,001.19
  5. Step 5: Solve for x
    x = 146,001.19/313.58
  6. Step 6: Final answer
    x = 465.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.