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Finding the Fourth Proportional to 384.04, 523.23 and 375.58

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Solution

The fourth proportional to 384.04, 523.23 and 375.58 is: 511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.04 : 523.23 = 375.58 : x
  2. Step 2: Convert to fraction form
    384.04/523.23 = 375.58/x
  3. Step 3: Cross multiply
    384.04x = 523.23 × 375.58
  4. Step 4: Simplify right side
    384.04x = 196,514.72
  5. Step 5: Solve for x
    x = 196,514.72/384.04
  6. Step 6: Final answer
    x = 511.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.