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Finding the Fourth Proportional to 358.35, 538.09 and 307.55

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Solution

The fourth proportional to 358.35, 538.09 and 307.55 is: 461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.35 : 538.09 = 307.55 : x
  2. Step 2: Convert to fraction form
    358.35/538.09 = 307.55/x
  3. Step 3: Cross multiply
    358.35x = 538.09 × 307.55
  4. Step 4: Simplify right side
    358.35x = 165,488.86
  5. Step 5: Solve for x
    x = 165,488.86/358.35
  6. Step 6: Final answer
    x = 461.81

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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.