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Finding the Fourth Proportional to 280.06, 389.16 and 277.06

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Solution

The fourth proportional to 280.06, 389.16 and 277.06 is: 384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.06 : 389.16 = 277.06 : x
  2. Step 2: Convert to fraction form
    280.06/389.16 = 277.06/x
  3. Step 3: Cross multiply
    280.06x = 389.16 × 277.06
  4. Step 4: Simplify right side
    280.06x = 107,819.28
  5. Step 5: Solve for x
    x = 107,819.28/280.06
  6. Step 6: Final answer
    x = 384.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.