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Finding the Fourth Proportional to 434.45, 651.74 and 142.02

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Solution

The fourth proportional to 434.45, 651.74 and 142.02 is: 213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.45 : 651.74 = 142.02 : x
  2. Step 2: Convert to fraction form
    434.45/651.74 = 142.02/x
  3. Step 3: Cross multiply
    434.45x = 651.74 × 142.02
  4. Step 4: Simplify right side
    434.45x = 92,559.40
  5. Step 5: Solve for x
    x = 92,559.40/434.45
  6. Step 6: Final answer
    x = 213.05

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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.