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Finding the Fourth Proportional to 434.79, 651.60 and 190.98

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Solution

The fourth proportional to 434.79, 651.60 and 190.98 is: 286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.79 : 651.60 = 190.98 : x
  2. Step 2: Convert to fraction form
    434.79/651.60 = 190.98/x
  3. Step 3: Cross multiply
    434.79x = 651.60 × 190.98
  4. Step 4: Simplify right side
    434.79x = 124,442.57
  5. Step 5: Solve for x
    x = 124,442.57/434.79
  6. Step 6: Final answer
    x = 286.21

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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.