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Finding the Fourth Proportional to 433.48, 598.27 and 276.18

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Solution

The fourth proportional to 433.48, 598.27 and 276.18 is: 381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.48 : 598.27 = 276.18 : x
  2. Step 2: Convert to fraction form
    433.48/598.27 = 276.18/x
  3. Step 3: Cross multiply
    433.48x = 598.27 × 276.18
  4. Step 4: Simplify right side
    433.48x = 165,232.39
  5. Step 5: Solve for x
    x = 165,232.39/433.48
  6. Step 6: Final answer
    x = 381.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.