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Finding the Fourth Proportional to 187.84, 280.40 and 171.64

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Solution

The fourth proportional to 187.84, 280.40 and 171.64 is: 256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.84 : 280.40 = 171.64 : x
  2. Step 2: Convert to fraction form
    187.84/280.40 = 171.64/x
  3. Step 3: Cross multiply
    187.84x = 280.40 × 171.64
  4. Step 4: Simplify right side
    187.84x = 48,127.86
  5. Step 5: Solve for x
    x = 48,127.86/187.84
  6. Step 6: Final answer
    x = 256.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.