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Finding the Fourth Proportional to 384.76, 576.60 and 240.22

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Solution

The fourth proportional to 384.76, 576.60 and 240.22 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.76 : 576.60 = 240.22 : x
  2. Step 2: Convert to fraction form
    384.76/576.60 = 240.22/x
  3. Step 3: Cross multiply
    384.76x = 576.60 × 240.22
  4. Step 4: Simplify right side
    384.76x = 138,510.85
  5. Step 5: Solve for x
    x = 138,510.85/384.76
  6. Step 6: Final answer
    x = 359.99

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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.