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Finding the Fourth Proportional to 468.67, 699.69 and 358.40

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Solution

The fourth proportional to 468.67, 699.69 and 358.40 is: 535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.67 : 699.69 = 358.40 : x
  2. Step 2: Convert to fraction form
    468.67/699.69 = 358.40/x
  3. Step 3: Cross multiply
    468.67x = 699.69 × 358.40
  4. Step 4: Simplify right side
    468.67x = 250,768.90
  5. Step 5: Solve for x
    x = 250,768.90/468.67
  6. Step 6: Final answer
    x = 535.06

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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.