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Finding the Fourth Proportional to 294.78, 407.14 and 276.50

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Solution

The fourth proportional to 294.78, 407.14 and 276.50 is: 381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.78 : 407.14 = 276.50 : x
  2. Step 2: Convert to fraction form
    294.78/407.14 = 276.50/x
  3. Step 3: Cross multiply
    294.78x = 407.14 × 276.50
  4. Step 4: Simplify right side
    294.78x = 112,574.21
  5. Step 5: Solve for x
    x = 112,574.21/294.78
  6. Step 6: Final answer
    x = 381.89

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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.