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Finding the Fourth Proportional to 292.60, 436.96 and 256.24

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Solution

The fourth proportional to 292.60, 436.96 and 256.24 is: 382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.60 : 436.96 = 256.24 : x
  2. Step 2: Convert to fraction form
    292.60/436.96 = 256.24/x
  3. Step 3: Cross multiply
    292.60x = 436.96 × 256.24
  4. Step 4: Simplify right side
    292.60x = 111,966.63
  5. Step 5: Solve for x
    x = 111,966.63/292.60
  6. Step 6: Final answer
    x = 382.66

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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.