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Finding the Fourth Proportional to 468.78, 646.93 and 258.99

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Solution

The fourth proportional to 468.78, 646.93 and 258.99 is: 357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 646.93 = 258.99 : x
  2. Step 2: Convert to fraction form
    468.78/646.93 = 258.99/x
  3. Step 3: Cross multiply
    468.78x = 646.93 × 258.99
  4. Step 4: Simplify right side
    468.78x = 167,545.33
  5. Step 5: Solve for x
    x = 167,545.33/468.78
  6. Step 6: Final answer
    x = 357.41

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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.