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Finding the Fourth Proportional to 296.92, 442.13 and 284.50

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Solution

The fourth proportional to 296.92, 442.13 and 284.50 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.92 : 442.13 = 284.50 : x
  2. Step 2: Convert to fraction form
    296.92/442.13 = 284.50/x
  3. Step 3: Cross multiply
    296.92x = 442.13 × 284.50
  4. Step 4: Simplify right side
    296.92x = 125,785.99
  5. Step 5: Solve for x
    x = 125,785.99/296.92
  6. Step 6: Final answer
    x = 423.64

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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.