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Finding the Fourth Proportional to 360.79, 498.28 and 322.13

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Solution

The fourth proportional to 360.79, 498.28 and 322.13 is: 444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.79 : 498.28 = 322.13 : x
  2. Step 2: Convert to fraction form
    360.79/498.28 = 322.13/x
  3. Step 3: Cross multiply
    360.79x = 498.28 × 322.13
  4. Step 4: Simplify right side
    360.79x = 160,510.94
  5. Step 5: Solve for x
    x = 160,510.94/360.79
  6. Step 6: Final answer
    x = 444.89

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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.