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Finding the Fourth Proportional to 361.08, 497.58 and 301.98

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Solution

The fourth proportional to 361.08, 497.58 and 301.98 is: 416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.08 : 497.58 = 301.98 : x
  2. Step 2: Convert to fraction form
    361.08/497.58 = 301.98/x
  3. Step 3: Cross multiply
    361.08x = 497.58 × 301.98
  4. Step 4: Simplify right side
    361.08x = 150,259.21
  5. Step 5: Solve for x
    x = 150,259.21/361.08
  6. Step 6: Final answer
    x = 416.14

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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.