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Finding the Fourth Proportional to 384.03, 578.36 and 349.47

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Solution

The fourth proportional to 384.03, 578.36 and 349.47 is: 526.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.03 : 578.36 = 349.47 : x
  2. Step 2: Convert to fraction form
    384.03/578.36 = 349.47/x
  3. Step 3: Cross multiply
    384.03x = 578.36 × 349.47
  4. Step 4: Simplify right side
    384.03x = 202,120.34
  5. Step 5: Solve for x
    x = 202,120.34/384.03
  6. Step 6: Final answer
    x = 526.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.