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Finding the Fourth Proportional to 360.51, 497.22 and 242.43

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Solution

The fourth proportional to 360.51, 497.22 and 242.43 is: 334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.51 : 497.22 = 242.43 : x
  2. Step 2: Convert to fraction form
    360.51/497.22 = 242.43/x
  3. Step 3: Cross multiply
    360.51x = 497.22 × 242.43
  4. Step 4: Simplify right side
    360.51x = 120,541.04
  5. Step 5: Solve for x
    x = 120,541.04/360.51
  6. Step 6: Final answer
    x = 334.36

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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.