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Finding the Fourth Proportional to 280.51, 423.01 and 276.66

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Solution

The fourth proportional to 280.51, 423.01 and 276.66 is: 417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.51 : 423.01 = 276.66 : x
  2. Step 2: Convert to fraction form
    280.51/423.01 = 276.66/x
  3. Step 3: Cross multiply
    280.51x = 423.01 × 276.66
  4. Step 4: Simplify right side
    280.51x = 117,028.74
  5. Step 5: Solve for x
    x = 117,028.74/280.51
  6. Step 6: Final answer
    x = 417.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.