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Finding the Fourth Proportional to 435.15, 652.08 and 280.98

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Solution

The fourth proportional to 435.15, 652.08 and 280.98 is: 421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.15 : 652.08 = 280.98 : x
  2. Step 2: Convert to fraction form
    435.15/652.08 = 280.98/x
  3. Step 3: Cross multiply
    435.15x = 652.08 × 280.98
  4. Step 4: Simplify right side
    435.15x = 183,221.44
  5. Step 5: Solve for x
    x = 183,221.44/435.15
  6. Step 6: Final answer
    x = 421.05

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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.