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Finding the Fourth Proportional to 280.77, 420.51 and 172.23

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Solution

The fourth proportional to 280.77, 420.51 and 172.23 is: 257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.77 : 420.51 = 172.23 : x
  2. Step 2: Convert to fraction form
    280.77/420.51 = 172.23/x
  3. Step 3: Cross multiply
    280.77x = 420.51 × 172.23
  4. Step 4: Simplify right side
    280.77x = 72,424.44
  5. Step 5: Solve for x
    x = 72,424.44/280.77
  6. Step 6: Final answer
    x = 257.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.