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Finding the Fourth Proportional to 294.17, 438.55 and 286.94

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Solution

The fourth proportional to 294.17, 438.55 and 286.94 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.17 : 438.55 = 286.94 : x
  2. Step 2: Convert to fraction form
    294.17/438.55 = 286.94/x
  3. Step 3: Cross multiply
    294.17x = 438.55 × 286.94
  4. Step 4: Simplify right side
    294.17x = 125,837.92
  5. Step 5: Solve for x
    x = 125,837.92/294.17
  6. Step 6: Final answer
    x = 427.78

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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.