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Finding the Fourth Proportional to 292.92, 407.03 and 289.95

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Solution

The fourth proportional to 292.92, 407.03 and 289.95 is: 402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.92 : 407.03 = 289.95 : x
  2. Step 2: Convert to fraction form
    292.92/407.03 = 289.95/x
  3. Step 3: Cross multiply
    292.92x = 407.03 × 289.95
  4. Step 4: Simplify right side
    292.92x = 118,018.35
  5. Step 5: Solve for x
    x = 118,018.35/292.92
  6. Step 6: Final answer
    x = 402.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.