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Finding the Fourth Proportional to 387.77, 533.93 and 322.16

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Solution

The fourth proportional to 387.77, 533.93 and 322.16 is: 443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.77 : 533.93 = 322.16 : x
  2. Step 2: Convert to fraction form
    387.77/533.93 = 322.16/x
  3. Step 3: Cross multiply
    387.77x = 533.93 × 322.16
  4. Step 4: Simplify right side
    387.77x = 172,006.61
  5. Step 5: Solve for x
    x = 172,006.61/387.77
  6. Step 6: Final answer
    x = 443.58

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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.