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Finding the Fourth Proportional to 309.63, 463.91 and 188.00

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Solution

The fourth proportional to 309.63, 463.91 and 188.00 is: 281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.63 : 463.91 = 188.00 : x
  2. Step 2: Convert to fraction form
    309.63/463.91 = 188.00/x
  3. Step 3: Cross multiply
    309.63x = 463.91 × 188.00
  4. Step 4: Simplify right side
    309.63x = 87,211.82
  5. Step 5: Solve for x
    x = 87,211.82/309.63
  6. Step 6: Final answer
    x = 281.66

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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.