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Finding the Fourth Proportional to 384.42, 576.44 and 356.63

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Solution

The fourth proportional to 384.42, 576.44 and 356.63 is: 534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.42 : 576.44 = 356.63 : x
  2. Step 2: Convert to fraction form
    384.42/576.44 = 356.63/x
  3. Step 3: Cross multiply
    384.42x = 576.44 × 356.63
  4. Step 4: Simplify right side
    384.42x = 205,574.01
  5. Step 5: Solve for x
    x = 205,574.01/384.42
  6. Step 6: Final answer
    x = 534.76

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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.