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Finding the Fourth Proportional to 434.35, 651.64 and 174.39

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Solution

The fourth proportional to 434.35, 651.64 and 174.39 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.35 : 651.64 = 174.39 : x
  2. Step 2: Convert to fraction form
    434.35/651.64 = 174.39/x
  3. Step 3: Cross multiply
    434.35x = 651.64 × 174.39
  4. Step 4: Simplify right side
    434.35x = 113,639.50
  5. Step 5: Solve for x
    x = 113,639.50/434.35
  6. Step 6: Final answer
    x = 261.63

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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.