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Finding the Fourth Proportional to 316.33, 473.79 and 307.72

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Solution

The fourth proportional to 316.33, 473.79 and 307.72 is: 460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.33 : 473.79 = 307.72 : x
  2. Step 2: Convert to fraction form
    316.33/473.79 = 307.72/x
  3. Step 3: Cross multiply
    316.33x = 473.79 × 307.72
  4. Step 4: Simplify right side
    316.33x = 145,794.66
  5. Step 5: Solve for x
    x = 145,794.66/316.33
  6. Step 6: Final answer
    x = 460.89

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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.