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Finding the Fourth Proportional to 360.32, 497.46 and 242.46

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Solution

The fourth proportional to 360.32, 497.46 and 242.46 is: 334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.32 : 497.46 = 242.46 : x
  2. Step 2: Convert to fraction form
    360.32/497.46 = 242.46/x
  3. Step 3: Cross multiply
    360.32x = 497.46 × 242.46
  4. Step 4: Simplify right side
    360.32x = 120,614.15
  5. Step 5: Solve for x
    x = 120,614.15/360.32
  6. Step 6: Final answer
    x = 334.74

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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.