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Finding the Fourth Proportional to 280.53, 417.96 and 266.76

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Solution

The fourth proportional to 280.53, 417.96 and 266.76 is: 397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.53 : 417.96 = 266.76 : x
  2. Step 2: Convert to fraction form
    280.53/417.96 = 266.76/x
  3. Step 3: Cross multiply
    280.53x = 417.96 × 266.76
  4. Step 4: Simplify right side
    280.53x = 111,495.01
  5. Step 5: Solve for x
    x = 111,495.01/280.53
  6. Step 6: Final answer
    x = 397.44

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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.