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Finding the Fourth Proportional to 296.50, 442.66 and 250.38

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Solution

The fourth proportional to 296.50, 442.66 and 250.38 is: 373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.50 : 442.66 = 250.38 : x
  2. Step 2: Convert to fraction form
    296.50/442.66 = 250.38/x
  3. Step 3: Cross multiply
    296.50x = 442.66 × 250.38
  4. Step 4: Simplify right side
    296.50x = 110,833.21
  5. Step 5: Solve for x
    x = 110,833.21/296.50
  6. Step 6: Final answer
    x = 373.81

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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.