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Finding the Fourth Proportional to 296.02, 445.75 and 219.53

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Solution

The fourth proportional to 296.02, 445.75 and 219.53 is: 330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.02 : 445.75 = 219.53 : x
  2. Step 2: Convert to fraction form
    296.02/445.75 = 219.53/x
  3. Step 3: Cross multiply
    296.02x = 445.75 × 219.53
  4. Step 4: Simplify right side
    296.02x = 97,854.79
  5. Step 5: Solve for x
    x = 97,854.79/296.02
  6. Step 6: Final answer
    x = 330.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.