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Finding the Fourth Proportional to 434.34, 651.58 and 141.84

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Solution

The fourth proportional to 434.34, 651.58 and 141.84 is: 212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.34 : 651.58 = 141.84 : x
  2. Step 2: Convert to fraction form
    434.34/651.58 = 141.84/x
  3. Step 3: Cross multiply
    434.34x = 651.58 × 141.84
  4. Step 4: Simplify right side
    434.34x = 92,419.75
  5. Step 5: Solve for x
    x = 92,419.75/434.34
  6. Step 6: Final answer
    x = 212.78

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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.