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Finding the Fourth Proportional to 292.38, 434.93 and 289.44

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Solution

The fourth proportional to 292.38, 434.93 and 289.44 is: 430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.38 : 434.93 = 289.44 : x
  2. Step 2: Convert to fraction form
    292.38/434.93 = 289.44/x
  3. Step 3: Cross multiply
    292.38x = 434.93 × 289.44
  4. Step 4: Simplify right side
    292.38x = 125,884.69
  5. Step 5: Solve for x
    x = 125,884.69/292.38
  6. Step 6: Final answer
    x = 430.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.