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Finding the Fourth Proportional to 384.54, 578.88 and 350.52

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Solution

The fourth proportional to 384.54, 578.88 and 350.52 is: 527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.54 : 578.88 = 350.52 : x
  2. Step 2: Convert to fraction form
    384.54/578.88 = 350.52/x
  3. Step 3: Cross multiply
    384.54x = 578.88 × 350.52
  4. Step 4: Simplify right side
    384.54x = 202,909.02
  5. Step 5: Solve for x
    x = 202,909.02/384.54
  6. Step 6: Final answer
    x = 527.67

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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.