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Finding the Fourth Proportional to 437.39, 656.10 and 275.21

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Solution

The fourth proportional to 437.39, 656.10 and 275.21 is: 412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.39 : 656.10 = 275.21 : x
  2. Step 2: Convert to fraction form
    437.39/656.10 = 275.21/x
  3. Step 3: Cross multiply
    437.39x = 656.10 × 275.21
  4. Step 4: Simplify right side
    437.39x = 180,565.28
  5. Step 5: Solve for x
    x = 180,565.28/437.39
  6. Step 6: Final answer
    x = 412.82

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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.