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Finding the Fourth Proportional to 468.47, 646.49 and 258.65

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Solution

The fourth proportional to 468.47, 646.49 and 258.65 is: 356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.47 : 646.49 = 258.65 : x
  2. Step 2: Convert to fraction form
    468.47/646.49 = 258.65/x
  3. Step 3: Cross multiply
    468.47x = 646.49 × 258.65
  4. Step 4: Simplify right side
    468.47x = 167,216.90
  5. Step 5: Solve for x
    x = 167,216.90/468.47
  6. Step 6: Final answer
    x = 356.94

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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.