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Finding the Fourth Proportional to 292.59, 436.53 and 261.81

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Solution

The fourth proportional to 292.59, 436.53 and 261.81 is: 390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.59 : 436.53 = 261.81 : x
  2. Step 2: Convert to fraction form
    292.59/436.53 = 261.81/x
  3. Step 3: Cross multiply
    292.59x = 436.53 × 261.81
  4. Step 4: Simplify right side
    292.59x = 114,287.92
  5. Step 5: Solve for x
    x = 114,287.92/292.59
  6. Step 6: Final answer
    x = 390.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.