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Finding the Fourth Proportional to 364.01, 542.70 and 322.97

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Solution

The fourth proportional to 364.01, 542.70 and 322.97 is: 481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.01 : 542.70 = 322.97 : x
  2. Step 2: Convert to fraction form
    364.01/542.70 = 322.97/x
  3. Step 3: Cross multiply
    364.01x = 542.70 × 322.97
  4. Step 4: Simplify right side
    364.01x = 175,271.49
  5. Step 5: Solve for x
    x = 175,271.49/364.01
  6. Step 6: Final answer
    x = 481.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.