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Finding the Fourth Proportional to 270.08, 404.30 and 233.63

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Solution

The fourth proportional to 270.08, 404.30 and 233.63 is: 349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.08 : 404.30 = 233.63 : x
  2. Step 2: Convert to fraction form
    270.08/404.30 = 233.63/x
  3. Step 3: Cross multiply
    270.08x = 404.30 × 233.63
  4. Step 4: Simplify right side
    270.08x = 94,455.17
  5. Step 5: Solve for x
    x = 94,455.17/270.08
  6. Step 6: Final answer
    x = 349.74

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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.