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Finding the Fourth Proportional to 468.30, 646.22 and 258.47

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Solution

The fourth proportional to 468.30, 646.22 and 258.47 is: 356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.30 : 646.22 = 258.47 : x
  2. Step 2: Convert to fraction form
    468.30/646.22 = 258.47/x
  3. Step 3: Cross multiply
    468.30x = 646.22 × 258.47
  4. Step 4: Simplify right side
    468.30x = 167,023.96
  5. Step 5: Solve for x
    x = 167,023.96/468.30
  6. Step 6: Final answer
    x = 356.66

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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.