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Finding the Fourth Proportional to 432.07, 647.74 and 188.41

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Solution

The fourth proportional to 432.07, 647.74 and 188.41 is: 282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.07 : 647.74 = 188.41 : x
  2. Step 2: Convert to fraction form
    432.07/647.74 = 188.41/x
  3. Step 3: Cross multiply
    432.07x = 647.74 × 188.41
  4. Step 4: Simplify right side
    432.07x = 122,040.69
  5. Step 5: Solve for x
    x = 122,040.69/432.07
  6. Step 6: Final answer
    x = 282.46

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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.