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Finding the Fourth Proportional to 388.54, 533.72 and 322.66

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Solution

The fourth proportional to 388.54, 533.72 and 322.66 is: 443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.54 : 533.72 = 322.66 : x
  2. Step 2: Convert to fraction form
    388.54/533.72 = 322.66/x
  3. Step 3: Cross multiply
    388.54x = 533.72 × 322.66
  4. Step 4: Simplify right side
    388.54x = 172,210.10
  5. Step 5: Solve for x
    x = 172,210.10/388.54
  6. Step 6: Final answer
    x = 443.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.