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Finding the Fourth Proportional to 435.20, 653.12 and 261.32

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Solution

The fourth proportional to 435.20, 653.12 and 261.32 is: 392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.20 : 653.12 = 261.32 : x
  2. Step 2: Convert to fraction form
    435.20/653.12 = 261.32/x
  3. Step 3: Cross multiply
    435.20x = 653.12 × 261.32
  4. Step 4: Simplify right side
    435.20x = 170,673.32
  5. Step 5: Solve for x
    x = 170,673.32/435.20
  6. Step 6: Final answer
    x = 392.17

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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.