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Finding the Fourth Proportional to 360.18, 496.53 and 256.50

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Solution

The fourth proportional to 360.18, 496.53 and 256.50 is: 353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.18 : 496.53 = 256.50 : x
  2. Step 2: Convert to fraction form
    360.18/496.53 = 256.50/x
  3. Step 3: Cross multiply
    360.18x = 496.53 × 256.50
  4. Step 4: Simplify right side
    360.18x = 127,359.95
  5. Step 5: Solve for x
    x = 127,359.95/360.18
  6. Step 6: Final answer
    x = 353.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.