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Finding the Fourth Proportional to 361.76, 498.72 and 309.07

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Solution

The fourth proportional to 361.76, 498.72 and 309.07 is: 426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.76 : 498.72 = 309.07 : x
  2. Step 2: Convert to fraction form
    361.76/498.72 = 309.07/x
  3. Step 3: Cross multiply
    361.76x = 498.72 × 309.07
  4. Step 4: Simplify right side
    361.76x = 154,138.14
  5. Step 5: Solve for x
    x = 154,138.14/361.76
  6. Step 6: Final answer
    x = 426.08

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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.