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Finding the Fourth Proportional to 432.16, 647.78 and 185.50

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Solution

The fourth proportional to 432.16, 647.78 and 185.50 is: 278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 647.78 = 185.50 : x
  2. Step 2: Convert to fraction form
    432.16/647.78 = 185.50/x
  3. Step 3: Cross multiply
    432.16x = 647.78 × 185.50
  4. Step 4: Simplify right side
    432.16x = 120,163.19
  5. Step 5: Solve for x
    x = 120,163.19/432.16
  6. Step 6: Final answer
    x = 278.05

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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.