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Finding the Fourth Proportional to 434.25, 651.60 and 190.71

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Solution

The fourth proportional to 434.25, 651.60 and 190.71 is: 286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.25 : 651.60 = 190.71 : x
  2. Step 2: Convert to fraction form
    434.25/651.60 = 190.71/x
  3. Step 3: Cross multiply
    434.25x = 651.60 × 190.71
  4. Step 4: Simplify right side
    434.25x = 124,266.64
  5. Step 5: Solve for x
    x = 124,266.64/434.25
  6. Step 6: Final answer
    x = 286.16

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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.