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Finding the Fourth Proportional to 433.64, 653.39 and 358.30

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Solution

The fourth proportional to 433.64, 653.39 and 358.30 is: 539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.64 : 653.39 = 358.30 : x
  2. Step 2: Convert to fraction form
    433.64/653.39 = 358.30/x
  3. Step 3: Cross multiply
    433.64x = 653.39 × 358.30
  4. Step 4: Simplify right side
    433.64x = 234,110.01
  5. Step 5: Solve for x
    x = 234,110.01/433.64
  6. Step 6: Final answer
    x = 539.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.