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Finding the Fourth Proportional to 296.60, 442.39 and 281.16

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Solution

The fourth proportional to 296.60, 442.39 and 281.16 is: 419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.60 : 442.39 = 281.16 : x
  2. Step 2: Convert to fraction form
    296.60/442.39 = 281.16/x
  3. Step 3: Cross multiply
    296.60x = 442.39 × 281.16
  4. Step 4: Simplify right side
    296.60x = 124,382.37
  5. Step 5: Solve for x
    x = 124,382.37/296.60
  6. Step 6: Final answer
    x = 419.36

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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.