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Finding the Fourth Proportional to 476.70, 715.12 and 184.19

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Solution

The fourth proportional to 476.70, 715.12 and 184.19 is: 276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.70 : 715.12 = 184.19 : x
  2. Step 2: Convert to fraction form
    476.70/715.12 = 184.19/x
  3. Step 3: Cross multiply
    476.70x = 715.12 × 184.19
  4. Step 4: Simplify right side
    476.70x = 131,717.95
  5. Step 5: Solve for x
    x = 131,717.95/476.70
  6. Step 6: Final answer
    x = 276.31

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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.