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Finding the Fourth Proportional to 292.30, 401.56 and 261.62

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Solution

The fourth proportional to 292.30, 401.56 and 261.62 is: 359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.30 : 401.56 = 261.62 : x
  2. Step 2: Convert to fraction form
    292.30/401.56 = 261.62/x
  3. Step 3: Cross multiply
    292.30x = 401.56 × 261.62
  4. Step 4: Simplify right side
    292.30x = 105,056.13
  5. Step 5: Solve for x
    x = 105,056.13/292.30
  6. Step 6: Final answer
    x = 359.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.