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Finding the Fourth Proportional to 434.46, 651.54 and 141.88

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Solution

The fourth proportional to 434.46, 651.54 and 141.88 is: 212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.46 : 651.54 = 141.88 : x
  2. Step 2: Convert to fraction form
    434.46/651.54 = 141.88/x
  3. Step 3: Cross multiply
    434.46x = 651.54 × 141.88
  4. Step 4: Simplify right side
    434.46x = 92,438.87
  5. Step 5: Solve for x
    x = 92,438.87/434.46
  6. Step 6: Final answer
    x = 212.77

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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.