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Finding the Fourth Proportional to 468.49, 646.49 and 258.67

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Solution

The fourth proportional to 468.49, 646.49 and 258.67 is: 356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.49 : 646.49 = 258.67 : x
  2. Step 2: Convert to fraction form
    468.49/646.49 = 258.67/x
  3. Step 3: Cross multiply
    468.49x = 646.49 × 258.67
  4. Step 4: Simplify right side
    468.49x = 167,227.57
  5. Step 5: Solve for x
    x = 167,227.57/468.49
  6. Step 6: Final answer
    x = 356.95

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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.