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Finding the Fourth Proportional to 316.20, 472.17 and 258.54

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Solution

The fourth proportional to 316.20, 472.17 and 258.54 is: 386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.20 : 472.17 = 258.54 : x
  2. Step 2: Convert to fraction form
    316.20/472.17 = 258.54/x
  3. Step 3: Cross multiply
    316.20x = 472.17 × 258.54
  4. Step 4: Simplify right side
    316.20x = 122,071.18
  5. Step 5: Solve for x
    x = 122,071.18/316.20
  6. Step 6: Final answer
    x = 386.06

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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.