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Finding the Fourth Proportional to 468.43, 699.34 and 358.16

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Solution

The fourth proportional to 468.43, 699.34 and 358.16 is: 534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.43 : 699.34 = 358.16 : x
  2. Step 2: Convert to fraction form
    468.43/699.34 = 358.16/x
  3. Step 3: Cross multiply
    468.43x = 699.34 × 358.16
  4. Step 4: Simplify right side
    468.43x = 250,475.61
  5. Step 5: Solve for x
    x = 250,475.61/468.43
  6. Step 6: Final answer
    x = 534.71

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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.