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Finding the Fourth Proportional to 468.81, 699.90 and 358.54

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Solution

The fourth proportional to 468.81, 699.90 and 358.54 is: 535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.81 : 699.90 = 358.54 : x
  2. Step 2: Convert to fraction form
    468.81/699.90 = 358.54/x
  3. Step 3: Cross multiply
    468.81x = 699.90 × 358.54
  4. Step 4: Simplify right side
    468.81x = 250,942.15
  5. Step 5: Solve for x
    x = 250,942.15/468.81
  6. Step 6: Final answer
    x = 535.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.