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Finding the Fourth Proportional to 431.77, 647.44 and 236.71

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Solution

The fourth proportional to 431.77, 647.44 and 236.71 is: 354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.77 : 647.44 = 236.71 : x
  2. Step 2: Convert to fraction form
    431.77/647.44 = 236.71/x
  3. Step 3: Cross multiply
    431.77x = 647.44 × 236.71
  4. Step 4: Simplify right side
    431.77x = 153,255.52
  5. Step 5: Solve for x
    x = 153,255.52/431.77
  6. Step 6: Final answer
    x = 354.95

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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.