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Finding the Fourth Proportional to 442.61, 663.66 and 296.53

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Solution

The fourth proportional to 442.61, 663.66 and 296.53 is: 444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.61 : 663.66 = 296.53 : x
  2. Step 2: Convert to fraction form
    442.61/663.66 = 296.53/x
  3. Step 3: Cross multiply
    442.61x = 663.66 × 296.53
  4. Step 4: Simplify right side
    442.61x = 196,797.17
  5. Step 5: Solve for x
    x = 196,797.17/442.61
  6. Step 6: Final answer
    x = 444.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.