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Finding the Fourth Proportional to 316.52, 472.48 and 309.32

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Solution

The fourth proportional to 316.52, 472.48 and 309.32 is: 461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.52 : 472.48 = 309.32 : x
  2. Step 2: Convert to fraction form
    316.52/472.48 = 309.32/x
  3. Step 3: Cross multiply
    316.52x = 472.48 × 309.32
  4. Step 4: Simplify right side
    316.52x = 146,147.51
  5. Step 5: Solve for x
    x = 146,147.51/316.52
  6. Step 6: Final answer
    x = 461.73

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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.