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Finding the Fourth Proportional to 280.34, 417.10 and 274.88

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Solution

The fourth proportional to 280.34, 417.10 and 274.88 is: 408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.34 : 417.10 = 274.88 : x
  2. Step 2: Convert to fraction form
    280.34/417.10 = 274.88/x
  3. Step 3: Cross multiply
    280.34x = 417.10 × 274.88
  4. Step 4: Simplify right side
    280.34x = 114,652.45
  5. Step 5: Solve for x
    x = 114,652.45/280.34
  6. Step 6: Final answer
    x = 408.98

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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.