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Finding the Fourth Proportional to 432.19, 647.88 and 188.65

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Solution

The fourth proportional to 432.19, 647.88 and 188.65 is: 282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.19 : 647.88 = 188.65 : x
  2. Step 2: Convert to fraction form
    432.19/647.88 = 188.65/x
  3. Step 3: Cross multiply
    432.19x = 647.88 × 188.65
  4. Step 4: Simplify right side
    432.19x = 122,222.56
  5. Step 5: Solve for x
    x = 122,222.56/432.19
  6. Step 6: Final answer
    x = 282.80

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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.