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Finding the Fourth Proportional to 360.48, 497.55 and 213.16

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Solution

The fourth proportional to 360.48, 497.55 and 213.16 is: 294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.48 : 497.55 = 213.16 : x
  2. Step 2: Convert to fraction form
    360.48/497.55 = 213.16/x
  3. Step 3: Cross multiply
    360.48x = 497.55 × 213.16
  4. Step 4: Simplify right side
    360.48x = 106,057.76
  5. Step 5: Solve for x
    x = 106,057.76/360.48
  6. Step 6: Final answer
    x = 294.21

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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.