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Finding the Fourth Proportional to 360.30, 497.07 and 261.84

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Solution

The fourth proportional to 360.30, 497.07 and 261.84 is: 361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.30 : 497.07 = 261.84 : x
  2. Step 2: Convert to fraction form
    360.30/497.07 = 261.84/x
  3. Step 3: Cross multiply
    360.30x = 497.07 × 261.84
  4. Step 4: Simplify right side
    360.30x = 130,152.81
  5. Step 5: Solve for x
    x = 130,152.81/360.30
  6. Step 6: Final answer
    x = 361.23

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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.