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Finding the Fourth Proportional to 287.41, 396.62 and 176.89

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Solution

The fourth proportional to 287.41, 396.62 and 176.89 is: 244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.41 : 396.62 = 176.89 : x
  2. Step 2: Convert to fraction form
    287.41/396.62 = 176.89/x
  3. Step 3: Cross multiply
    287.41x = 396.62 × 176.89
  4. Step 4: Simplify right side
    287.41x = 70,158.11
  5. Step 5: Solve for x
    x = 70,158.11/287.41
  6. Step 6: Final answer
    x = 244.10

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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.