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Finding the Fourth Proportional to 464.49, 696.20 and 258.71

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Solution

The fourth proportional to 464.49, 696.20 and 258.71 is: 387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.49 : 696.20 = 258.71 : x
  2. Step 2: Convert to fraction form
    464.49/696.20 = 258.71/x
  3. Step 3: Cross multiply
    464.49x = 696.20 × 258.71
  4. Step 4: Simplify right side
    464.49x = 180,109.13
  5. Step 5: Solve for x
    x = 180,109.13/464.49
  6. Step 6: Final answer
    x = 387.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.