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Finding the Fourth Proportional to 432.40, 647.99 and 188.41

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Solution

The fourth proportional to 432.40, 647.99 and 188.41 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.40 : 647.99 = 188.41 : x
  2. Step 2: Convert to fraction form
    432.40/647.99 = 188.41/x
  3. Step 3: Cross multiply
    432.40x = 647.99 × 188.41
  4. Step 4: Simplify right side
    432.40x = 122,087.32
  5. Step 5: Solve for x
    x = 122,087.32/432.40
  6. Step 6: Final answer
    x = 282.35

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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.