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Finding the Fourth Proportional to 384.16, 528.96 and 353.20

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Solution

The fourth proportional to 384.16, 528.96 and 353.20 is: 486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.16 : 528.96 = 353.20 : x
  2. Step 2: Convert to fraction form
    384.16/528.96 = 353.20/x
  3. Step 3: Cross multiply
    384.16x = 528.96 × 353.20
  4. Step 4: Simplify right side
    384.16x = 186,828.67
  5. Step 5: Solve for x
    x = 186,828.67/384.16
  6. Step 6: Final answer
    x = 486.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.