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Finding the Fourth Proportional to 360.40, 497.34 and 211.05

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Solution

The fourth proportional to 360.40, 497.34 and 211.05 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.40 : 497.34 = 211.05 : x
  2. Step 2: Convert to fraction form
    360.40/497.34 = 211.05/x
  3. Step 3: Cross multiply
    360.40x = 497.34 × 211.05
  4. Step 4: Simplify right side
    360.40x = 104,963.61
  5. Step 5: Solve for x
    x = 104,963.61/360.40
  6. Step 6: Final answer
    x = 291.24

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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.