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Finding the Fourth Proportional to 384.34, 577.20 and 352.20

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Solution

The fourth proportional to 384.34, 577.20 and 352.20 is: 528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.34 : 577.20 = 352.20 : x
  2. Step 2: Convert to fraction form
    384.34/577.20 = 352.20/x
  3. Step 3: Cross multiply
    384.34x = 577.20 × 352.20
  4. Step 4: Simplify right side
    384.34x = 203,289.84
  5. Step 5: Solve for x
    x = 203,289.84/384.34
  6. Step 6: Final answer
    x = 528.93

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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.