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Finding the Fourth Proportional to 373.72, 559.76 and 296.76

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Solution

The fourth proportional to 373.72, 559.76 and 296.76 is: 444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.72 : 559.76 = 296.76 : x
  2. Step 2: Convert to fraction form
    373.72/559.76 = 296.76/x
  3. Step 3: Cross multiply
    373.72x = 559.76 × 296.76
  4. Step 4: Simplify right side
    373.72x = 166,114.38
  5. Step 5: Solve for x
    x = 166,114.38/373.72
  6. Step 6: Final answer
    x = 444.49

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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.