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Finding the Fourth Proportional to 432.77, 650.97 and 368.98

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Solution

The fourth proportional to 432.77, 650.97 and 368.98 is: 555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.77 : 650.97 = 368.98 : x
  2. Step 2: Convert to fraction form
    432.77/650.97 = 368.98/x
  3. Step 3: Cross multiply
    432.77x = 650.97 × 368.98
  4. Step 4: Simplify right side
    432.77x = 240,193.28
  5. Step 5: Solve for x
    x = 240,193.28/432.77
  6. Step 6: Final answer
    x = 555.02

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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.