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Finding the Fourth Proportional to 434.55, 650.52 and 280.17

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Solution

The fourth proportional to 434.55, 650.52 and 280.17 is: 419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.55 : 650.52 = 280.17 : x
  2. Step 2: Convert to fraction form
    434.55/650.52 = 280.17/x
  3. Step 3: Cross multiply
    434.55x = 650.52 × 280.17
  4. Step 4: Simplify right side
    434.55x = 182,256.71
  5. Step 5: Solve for x
    x = 182,256.71/434.55
  6. Step 6: Final answer
    x = 419.41

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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.