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Finding the Fourth Proportional to 431.94, 647.90 and 188.47

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Solution

The fourth proportional to 431.94, 647.90 and 188.47 is: 282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.94 : 647.90 = 188.47 : x
  2. Step 2: Convert to fraction form
    431.94/647.90 = 188.47/x
  3. Step 3: Cross multiply
    431.94x = 647.90 × 188.47
  4. Step 4: Simplify right side
    431.94x = 122,108.56
  5. Step 5: Solve for x
    x = 122,108.56/431.94
  6. Step 6: Final answer
    x = 282.70

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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.