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Finding the Fourth Proportional to 290.92, 438.39 and 277.02

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Solution

The fourth proportional to 290.92, 438.39 and 277.02 is: 417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.92 : 438.39 = 277.02 : x
  2. Step 2: Convert to fraction form
    290.92/438.39 = 277.02/x
  3. Step 3: Cross multiply
    290.92x = 438.39 × 277.02
  4. Step 4: Simplify right side
    290.92x = 121,440.61
  5. Step 5: Solve for x
    x = 121,440.61/290.92
  6. Step 6: Final answer
    x = 417.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.