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Finding the Fourth Proportional to 476.15, 713.55 and 187.25

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Solution

The fourth proportional to 476.15, 713.55 and 187.25 is: 280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.15 : 713.55 = 187.25 : x
  2. Step 2: Convert to fraction form
    476.15/713.55 = 187.25/x
  3. Step 3: Cross multiply
    476.15x = 713.55 × 187.25
  4. Step 4: Simplify right side
    476.15x = 133,612.24
  5. Step 5: Solve for x
    x = 133,612.24/476.15
  6. Step 6: Final answer
    x = 280.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.