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Finding the Fourth Proportional to 478.94, 661.00 and 292.39

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Solution

The fourth proportional to 478.94, 661.00 and 292.39 is: 403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.94 : 661.00 = 292.39 : x
  2. Step 2: Convert to fraction form
    478.94/661.00 = 292.39/x
  3. Step 3: Cross multiply
    478.94x = 661.00 × 292.39
  4. Step 4: Simplify right side
    478.94x = 193,272.17
  5. Step 5: Solve for x
    x = 193,272.17/478.94
  6. Step 6: Final answer
    x = 403.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.