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Finding the Fourth Proportional to 438.01, 656.97 and 275.20

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Solution

The fourth proportional to 438.01, 656.97 and 275.20 is: 412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.01 : 656.97 = 275.20 : x
  2. Step 2: Convert to fraction form
    438.01/656.97 = 275.20/x
  3. Step 3: Cross multiply
    438.01x = 656.97 × 275.20
  4. Step 4: Simplify right side
    438.01x = 180,798.14
  5. Step 5: Solve for x
    x = 180,798.14/438.01
  6. Step 6: Final answer
    x = 412.77

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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.