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Finding the Fourth Proportional to 384.03, 528.59 and 321.17

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Solution

The fourth proportional to 384.03, 528.59 and 321.17 is: 442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.03 : 528.59 = 321.17 : x
  2. Step 2: Convert to fraction form
    384.03/528.59 = 321.17/x
  3. Step 3: Cross multiply
    384.03x = 528.59 × 321.17
  4. Step 4: Simplify right side
    384.03x = 169,763.00
  5. Step 5: Solve for x
    x = 169,763.00/384.03
  6. Step 6: Final answer
    x = 442.06

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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.