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Finding the Fourth Proportional to 361.02, 497.64 and 295.42

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Solution

The fourth proportional to 361.02, 497.64 and 295.42 is: 407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.02 : 497.64 = 295.42 : x
  2. Step 2: Convert to fraction form
    361.02/497.64 = 295.42/x
  3. Step 3: Cross multiply
    361.02x = 497.64 × 295.42
  4. Step 4: Simplify right side
    361.02x = 147,012.81
  5. Step 5: Solve for x
    x = 147,012.81/361.02
  6. Step 6: Final answer
    x = 407.22

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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.