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Finding the Fourth Proportional to 279.34, 417.06 and 262.96

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Solution

The fourth proportional to 279.34, 417.06 and 262.96 is: 392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.34 : 417.06 = 262.96 : x
  2. Step 2: Convert to fraction form
    279.34/417.06 = 262.96/x
  3. Step 3: Cross multiply
    279.34x = 417.06 × 262.96
  4. Step 4: Simplify right side
    279.34x = 109,670.10
  5. Step 5: Solve for x
    x = 109,670.10/279.34
  6. Step 6: Final answer
    x = 392.60

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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.