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Finding the Fourth Proportional to 437.84, 657.32 and 276.20

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Solution

The fourth proportional to 437.84, 657.32 and 276.20 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.84 : 657.32 = 276.20 : x
  2. Step 2: Convert to fraction form
    437.84/657.32 = 276.20/x
  3. Step 3: Cross multiply
    437.84x = 657.32 × 276.20
  4. Step 4: Simplify right side
    437.84x = 181,551.78
  5. Step 5: Solve for x
    x = 181,551.78/437.84
  6. Step 6: Final answer
    x = 414.65

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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.