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Finding the Fourth Proportional to 434.18, 649.65 and 251.66

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Solution

The fourth proportional to 434.18, 649.65 and 251.66 is: 376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.18 : 649.65 = 251.66 : x
  2. Step 2: Convert to fraction form
    434.18/649.65 = 251.66/x
  3. Step 3: Cross multiply
    434.18x = 649.65 × 251.66
  4. Step 4: Simplify right side
    434.18x = 163,490.92
  5. Step 5: Solve for x
    x = 163,490.92/434.18
  6. Step 6: Final answer
    x = 376.55

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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.