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Finding the Fourth Proportional to 294.76, 403.49 and 285.40

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Solution

The fourth proportional to 294.76, 403.49 and 285.40 is: 390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.76 : 403.49 = 285.40 : x
  2. Step 2: Convert to fraction form
    294.76/403.49 = 285.40/x
  3. Step 3: Cross multiply
    294.76x = 403.49 × 285.40
  4. Step 4: Simplify right side
    294.76x = 115,156.05
  5. Step 5: Solve for x
    x = 115,156.05/294.76
  6. Step 6: Final answer
    x = 390.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.