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Finding the Fourth Proportional to 296.61, 442.41 and 250.64

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Solution

The fourth proportional to 296.61, 442.41 and 250.64 is: 373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.61 : 442.41 = 250.64 : x
  2. Step 2: Convert to fraction form
    296.61/442.41 = 250.64/x
  3. Step 3: Cross multiply
    296.61x = 442.41 × 250.64
  4. Step 4: Simplify right side
    296.61x = 110,888.05
  5. Step 5: Solve for x
    x = 110,888.05/296.61
  6. Step 6: Final answer
    x = 373.85

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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.