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Finding the Fourth Proportional to 392.01, 541.67 and 322.89

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Solution

The fourth proportional to 392.01, 541.67 and 322.89 is: 446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.01 : 541.67 = 322.89 : x
  2. Step 2: Convert to fraction form
    392.01/541.67 = 322.89/x
  3. Step 3: Cross multiply
    392.01x = 541.67 × 322.89
  4. Step 4: Simplify right side
    392.01x = 174,898.21
  5. Step 5: Solve for x
    x = 174,898.21/392.01
  6. Step 6: Final answer
    x = 446.16

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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.