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Finding the Fourth Proportional to 468.13, 646 and 258.31

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Solution

The fourth proportional to 468.13, 646 and 258.31 is: 356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.13 : 646 = 258.31 : x
  2. Step 2: Convert to fraction form
    468.13/646 = 258.31/x
  3. Step 3: Cross multiply
    468.13x = 646 × 258.31
  4. Step 4: Simplify right side
    468.13x = 166,868.26
  5. Step 5: Solve for x
    x = 166,868.26/468.13
  6. Step 6: Final answer
    x = 356.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.