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Finding the Fourth Proportional to 361.70, 498 and 306.32

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Solution

The fourth proportional to 361.70, 498 and 306.32 is: 421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.70 : 498 = 306.32 : x
  2. Step 2: Convert to fraction form
    361.70/498 = 306.32/x
  3. Step 3: Cross multiply
    361.70x = 498 × 306.32
  4. Step 4: Simplify right side
    361.70x = 152,547.36
  5. Step 5: Solve for x
    x = 152,547.36/361.70
  6. Step 6: Final answer
    x = 421.75

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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.