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Finding the Fourth Proportional to 361.68, 498.90 and 312.09

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Solution

The fourth proportional to 361.68, 498.90 and 312.09 is: 430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.68 : 498.90 = 312.09 : x
  2. Step 2: Convert to fraction form
    361.68/498.90 = 312.09/x
  3. Step 3: Cross multiply
    361.68x = 498.90 × 312.09
  4. Step 4: Simplify right side
    361.68x = 155,701.70
  5. Step 5: Solve for x
    x = 155,701.70/361.68
  6. Step 6: Final answer
    x = 430.50

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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.