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Finding the Fourth Proportional to 287.51, 396.56 and 176.84

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Solution

The fourth proportional to 287.51, 396.56 and 176.84 is: 243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.51 : 396.56 = 176.84 : x
  2. Step 2: Convert to fraction form
    287.51/396.56 = 176.84/x
  3. Step 3: Cross multiply
    287.51x = 396.56 × 176.84
  4. Step 4: Simplify right side
    287.51x = 70,127.67
  5. Step 5: Solve for x
    x = 70,127.67/287.51
  6. Step 6: Final answer
    x = 243.91

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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.