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Finding the Fourth Proportional to 361.17, 497.78 and 291.45

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Solution

The fourth proportional to 361.17, 497.78 and 291.45 is: 401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.17 : 497.78 = 291.45 : x
  2. Step 2: Convert to fraction form
    361.17/497.78 = 291.45/x
  3. Step 3: Cross multiply
    361.17x = 497.78 × 291.45
  4. Step 4: Simplify right side
    361.17x = 145,076.52
  5. Step 5: Solve for x
    x = 145,076.52/361.17
  6. Step 6: Final answer
    x = 401.68

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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.